Finding the Third Proportional to 24,275.25 and 36,635.63

Step by Step Solution

1. Step 1: Write the proportion equation
   24,275.25 : 36,635.63 = 36,635.63 : x
2. Step 2: Convert to fraction form
   24,275.25/36,635.63 = 36,635.63/x
3. Step 3: Cross multiply
   24,275.25x = 36,635.63 × 36,635.63
4. Step 4: Simplify right side
   24,275.25x = 1,342,169,019.14
5. Step 5: Solve for x
   x = 1,342,169,019.14/24,275.25
6. Step 6: Final answer
   x = 55,289.61