Finding the Third Proportional to 14,212 and 21,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,212 : 21,516.50 = 21,516.50 : x
2. Step 2: Convert to fraction form
   14,212/21,516.50 = 21,516.50/x
3. Step 3: Cross multiply
   14,212x = 21,516.50 × 21,516.50
4. Step 4: Simplify right side
   14,212x = 462,959,772.25
5. Step 5: Solve for x
   x = 462,959,772.25/14,212
6. Step 6: Final answer
   x = 32,575.27