Finding the Third Proportional to 10,557.50 and 14,213.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,557.50 : 14,213.25 = 14,213.25 : x
2. Step 2: Convert to fraction form
   10,557.50/14,213.25 = 14,213.25/x
3. Step 3: Cross multiply
   10,557.50x = 14,213.25 × 14,213.25
4. Step 4: Simplify right side
   10,557.50x = 202,016,475.56
5. Step 5: Solve for x
   x = 202,016,475.56/10,557.50
6. Step 6: Final answer
   x = 19,134.88