Finding the Third Proportional to 29,565.75 and 42,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,565.75 : 42,502.50 = 42,502.50 : x
2. Step 2: Convert to fraction form
   29,565.75/42,502.50 = 42,502.50/x
3. Step 3: Cross multiply
   29,565.75x = 42,502.50 × 42,502.50
4. Step 4: Simplify right side
   29,565.75x = 1,806,462,506.25
5. Step 5: Solve for x
   x = 1,806,462,506.25/29,565.75
6. Step 6: Final answer
   x = 61,099.84