Finding the Third Proportional to 14,656.50 and 20,162.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,656.50 : 20,162.25 = 20,162.25 : x
2. Step 2: Convert to fraction form
   14,656.50/20,162.25 = 20,162.25/x
3. Step 3: Cross multiply
   14,656.50x = 20,162.25 × 20,162.25
4. Step 4: Simplify right side
   14,656.50x = 406,516,325.06
5. Step 5: Solve for x
   x = 406,516,325.06/14,656.50
6. Step 6: Final answer
   x = 27,736.25