Finding the Third Proportional to 31,972.50 and 69,723

Step by Step Solution

1. Step 1: Write the proportion equation
   31,972.50 : 69,723 = 69,723 : x
2. Step 2: Convert to fraction form
   31,972.50/69,723 = 69,723/x
3. Step 3: Cross multiply
   31,972.50x = 69,723 × 69,723
4. Step 4: Simplify right side
   31,972.50x = 4,861,296,729
5. Step 5: Solve for x
   x = 4,861,296,729/31,972.50
6. Step 6: Final answer
   x = 152,046.19