Finding the Third Proportional to 14,641 and 31,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,641 : 31,740.50 = 31,740.50 : x
2. Step 2: Convert to fraction form
   14,641/31,740.50 = 31,740.50/x
3. Step 3: Cross multiply
   14,641x = 31,740.50 × 31,740.50
4. Step 4: Simplify right side
   14,641x = 1,007,459,340.25
5. Step 5: Solve for x
   x = 1,007,459,340.25/14,641
6. Step 6: Final answer
   x = 68,810.83