Finding the Third Proportional to 31,740.19 and 68,949.56

Step by Step Solution

1. Step 1: Write the proportion equation
   31,740.19 : 68,949.56 = 68,949.56 : x
2. Step 2: Convert to fraction form
   31,740.19/68,949.56 = 68,949.56/x
3. Step 3: Cross multiply
   31,740.19x = 68,949.56 × 68,949.56
4. Step 4: Simplify right side
   31,740.19x = 4,754,042,168.94
5. Step 5: Solve for x
   x = 4,754,042,168.94/31,740.19
6. Step 6: Final answer
   x = 149,779.90