Finding the Third Proportional to 14,602.50 and 22,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,602.50 : 22,585.50 = 22,585.50 : x
2. Step 2: Convert to fraction form
   14,602.50/22,585.50 = 22,585.50/x
3. Step 3: Cross multiply
   14,602.50x = 22,585.50 × 22,585.50
4. Step 4: Simplify right side
   14,602.50x = 510,104,810.25
5. Step 5: Solve for x
   x = 510,104,810.25/14,602.50
6. Step 6: Final answer
   x = 34,932.70