Finding the Third Proportional to 24,537.75 and 38,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,537.75 : 38,917.50 = 38,917.50 : x
2. Step 2: Convert to fraction form
   24,537.75/38,917.50 = 38,917.50/x
3. Step 3: Cross multiply
   24,537.75x = 38,917.50 × 38,917.50
4. Step 4: Simplify right side
   24,537.75x = 1,514,571,806.25
5. Step 5: Solve for x
   x = 1,514,571,806.25/24,537.75
6. Step 6: Final answer
   x = 61,724.15