Finding the Third Proportional to 14,213.50 and 21,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,213.50 : 21,320.50 = 21,320.50 : x
2. Step 2: Convert to fraction form
   14,213.50/21,320.50 = 21,320.50/x
3. Step 3: Cross multiply
   14,213.50x = 21,320.50 × 21,320.50
4. Step 4: Simplify right side
   14,213.50x = 454,563,720.25
5. Step 5: Solve for x
   x = 454,563,720.25/14,213.50
6. Step 6: Final answer
   x = 31,981.13