Finding the Third Proportional to 31,604,283,367 and 45,662,731,786

Step by Step Solution

1. Step 1: Write the proportion equation
   31,604,283,367 : 45,662,731,786 = 45,662,731,786 : x
2. Step 2: Convert to fraction form
   31,604,283,367/45,662,731,786 = 45,662,731,786/x
3. Step 3: Cross multiply
   31,604,283,367x = 45,662,731,786 × 45,662,731,786
4. Step 4: Simplify right side
   31,604,283,367x = 2,085,085,074,160,174,759,936
5. Step 5: Solve for x
   x = 2,085,085,074,160,174,759,936/31,604,283,367
6. Step 6: Final answer
   x = 65,974,762,026.64