Finding the Third Proportional to 14,265 and 21,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,265 : 21,406.50 = 21,406.50 : x
2. Step 2: Convert to fraction form
   14,265/21,406.50 = 21,406.50/x
3. Step 3: Cross multiply
   14,265x = 21,406.50 × 21,406.50
4. Step 4: Simplify right side
   14,265x = 458,238,242.25
5. Step 5: Solve for x
   x = 458,238,242.25/14,265
6. Step 6: Final answer
   x = 32,123.26