Finding the Third Proportional to 14,466 and 21,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,466 : 21,853.50 = 21,853.50 : x
2. Step 2: Convert to fraction form
   14,466/21,853.50 = 21,853.50/x
3. Step 3: Cross multiply
   14,466x = 21,853.50 × 21,853.50
4. Step 4: Simplify right side
   14,466x = 477,575,462.25
5. Step 5: Solve for x
   x = 477,575,462.25/14,466
6. Step 6: Final answer
   x = 33,013.65