Finding the Third Proportional to 14,608 and 23,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,608 : 23,733.50 = 23,733.50 : x
2. Step 2: Convert to fraction form
   14,608/23,733.50 = 23,733.50/x
3. Step 3: Cross multiply
   14,608x = 23,733.50 × 23,733.50
4. Step 4: Simplify right side
   14,608x = 563,279,022.25
5. Step 5: Solve for x
   x = 563,279,022.25/14,608
6. Step 6: Final answer
   x = 38,559.63