Finding the Third Proportional to 14,644.50 and 22,695.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,644.50 : 22,695.75 = 22,695.75 : x
2. Step 2: Convert to fraction form
   14,644.50/22,695.75 = 22,695.75/x
3. Step 3: Cross multiply
   14,644.50x = 22,695.75 × 22,695.75
4. Step 4: Simplify right side
   14,644.50x = 515,097,068.06
5. Step 5: Solve for x
   x = 515,097,068.06/14,644.50
6. Step 6: Final answer
   x = 35,173.41