Finding the Third Proportional to 14,314.50 and 21,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,314.50 : 21,405.50 = 21,405.50 : x
2. Step 2: Convert to fraction form
   14,314.50/21,405.50 = 21,405.50/x
3. Step 3: Cross multiply
   14,314.50x = 21,405.50 × 21,405.50
4. Step 4: Simplify right side
   14,314.50x = 458,195,430.25
5. Step 5: Solve for x
   x = 458,195,430.25/14,314.50
6. Step 6: Final answer
   x = 32,009.18