Finding the Third Proportional to 31,746.94 and 68,963.06

Step by Step Solution

1. Step 1: Write the proportion equation
   31,746.94 : 68,963.06 = 68,963.06 : x
2. Step 2: Convert to fraction form
   31,746.94/68,963.06 = 68,963.06/x
3. Step 3: Cross multiply
   31,746.94x = 68,963.06 × 68,963.06
4. Step 4: Simplify right side
   31,746.94x = 4,755,903,989.38
5. Step 5: Solve for x
   x = 4,755,903,989.38/31,746.94
6. Step 6: Final answer
   x = 149,806.70