Finding the Third Proportional to 24,695.50 and 38,296.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,695.50 : 38,296.75 = 38,296.75 : x
2. Step 2: Convert to fraction form
   24,695.50/38,296.75 = 38,296.75/x
3. Step 3: Cross multiply
   24,695.50x = 38,296.75 × 38,296.75
4. Step 4: Simplify right side
   24,695.50x = 1,466,641,060.56
5. Step 5: Solve for x
   x = 1,466,641,060.56/24,695.50
6. Step 6: Final answer
   x = 59,389.00