Finding the Third Proportional to 14,132 and 21,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,132 : 21,153.50 = 21,153.50 : x
2. Step 2: Convert to fraction form
   14,132/21,153.50 = 21,153.50/x
3. Step 3: Cross multiply
   14,132x = 21,153.50 × 21,153.50
4. Step 4: Simplify right side
   14,132x = 447,470,562.25
5. Step 5: Solve for x
   x = 447,470,562.25/14,132
6. Step 6: Final answer
   x = 31,663.64