Finding the Third Proportional to 14,602.50 and 22,656.38

Step by Step Solution

1. Step 1: Write the proportion equation
   14,602.50 : 22,656.38 = 22,656.38 : x
2. Step 2: Convert to fraction form
   14,602.50/22,656.38 = 22,656.38/x
3. Step 3: Cross multiply
   14,602.50x = 22,656.38 × 22,656.38
4. Step 4: Simplify right side
   14,602.50x = 513,311,328.14
5. Step 5: Solve for x
   x = 513,311,328.14/14,602.50
6. Step 6: Final answer
   x = 35,152.29