Finding the Third Proportional to 31,836,929,069 and 68,146,190,032

Step by Step Solution

1. Step 1: Write the proportion equation
   31,836,929,069 : 68,146,190,032 = 68,146,190,032 : x
2. Step 2: Convert to fraction form
   31,836,929,069/68,146,190,032 = 68,146,190,032/x
3. Step 3: Cross multiply
   31,836,929,069x = 68,146,190,032 × 68,146,190,032
4. Step 4: Simplify right side
   31,836,929,069x = 4,643,903,215,877,456,134,144
5. Step 5: Solve for x
   x = 4,643,903,215,877,456,134,144/31,836,929,069
6. Step 6: Final answer
   x = 145,865,300,193.14