Finding the Third Proportional to 14,602.50 and 23,726.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,602.50 : 23,726.25 = 23,726.25 : x
2. Step 2: Convert to fraction form
   14,602.50/23,726.25 = 23,726.25/x
3. Step 3: Cross multiply
   14,602.50x = 23,726.25 × 23,726.25
4. Step 4: Simplify right side
   14,602.50x = 562,934,939.06
5. Step 5: Solve for x
   x = 562,934,939.06/14,602.50
6. Step 6: Final answer
   x = 38,550.59