Finding the Third Proportional to 31,443 and 42,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,443 : 42,724.50 = 42,724.50 : x
2. Step 2: Convert to fraction form
   31,443/42,724.50 = 42,724.50/x
3. Step 3: Cross multiply
   31,443x = 42,724.50 × 42,724.50
4. Step 4: Simplify right side
   31,443x = 1,825,382,900.25
5. Step 5: Solve for x
   x = 1,825,382,900.25/31,443
6. Step 6: Final answer
   x = 58,053.71