Finding the Third Proportional to 2,388,608,971,536 and 5,264,092,536,960

Step by Step Solution

1. Step 1: Write the proportion equation
   2,388,608,971,536 : 5,264,092,536,960 = 5,264,092,536,960 : x
2. Step 2: Convert to fraction form
   2,388,608,971,536/5,264,092,536,960 = 5,264,092,536,960/x
3. Step 3: Cross multiply
   2,388,608,971,536x = 5,264,092,536,960 × 5,264,092,536,960
4. Step 4: Simplify right side
   2,388,608,971,536x = 27,710,670,237,677,968,938,762,240
5. Step 5: Solve for x
   x = 27,710,670,237,677,968,938,762,240/2,388,608,971,536
6. Step 6: Final answer
   x = 11,601,174,812,576.61