Finding the Third Proportional to 14,566.50 and 20,742.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,566.50 : 20,742.75 = 20,742.75 : x
2. Step 2: Convert to fraction form
   14,566.50/20,742.75 = 20,742.75/x
3. Step 3: Cross multiply
   14,566.50x = 20,742.75 × 20,742.75
4. Step 4: Simplify right side
   14,566.50x = 430,261,677.56
5. Step 5: Solve for x
   x = 430,261,677.56/14,566.50
6. Step 6: Final answer
   x = 29,537.75