Finding the Third Proportional to 14,601 and 22,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,601 : 22,648.50 = 22,648.50 : x
2. Step 2: Convert to fraction form
   14,601/22,648.50 = 22,648.50/x
3. Step 3: Cross multiply
   14,601x = 22,648.50 × 22,648.50
4. Step 4: Simplify right side
   14,601x = 512,954,552.25
5. Step 5: Solve for x
   x = 512,954,552.25/14,601
6. Step 6: Final answer
   x = 35,131.47