Finding the Third Proportional to 31,729.65 and 69,151.06

Step by Step Solution

1. Step 1: Write the proportion equation
   31,729.65 : 69,151.06 = 69,151.06 : x
2. Step 2: Convert to fraction form
   31,729.65/69,151.06 = 69,151.06/x
3. Step 3: Cross multiply
   31,729.65x = 69,151.06 × 69,151.06
4. Step 4: Simplify right side
   31,729.65x = 4,781,869,174.76
5. Step 5: Solve for x
   x = 4,781,869,174.76/31,729.65
6. Step 6: Final answer
   x = 150,706.63