Finding the Third Proportional to 14,238 and 20,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,238 : 20,506.50 = 20,506.50 : x
2. Step 2: Convert to fraction form
   14,238/20,506.50 = 20,506.50/x
3. Step 3: Cross multiply
   14,238x = 20,506.50 × 20,506.50
4. Step 4: Simplify right side
   14,238x = 420,516,542.25
5. Step 5: Solve for x
   x = 420,516,542.25/14,238
6. Step 6: Final answer
   x = 29,534.80