Finding the Third Proportional to 14,362 and 21,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,362 : 21,456.50 = 21,456.50 : x
2. Step 2: Convert to fraction form
   14,362/21,456.50 = 21,456.50/x
3. Step 3: Cross multiply
   14,362x = 21,456.50 × 21,456.50
4. Step 4: Simplify right side
   14,362x = 460,381,392.25
5. Step 5: Solve for x
   x = 460,381,392.25/14,362
6. Step 6: Final answer
   x = 32,055.52