Finding the Third Proportional to 10,232 and 12,080

Step by Step Solution

1. Step 1: Write the proportion equation
   10,232 : 12,080 = 12,080 : x
2. Step 2: Convert to fraction form
   10,232/12,080 = 12,080/x
3. Step 3: Cross multiply
   10,232x = 12,080 × 12,080
4. Step 4: Simplify right side
   10,232x = 145,926,400
5. Step 5: Solve for x
   x = 145,926,400/10,232
6. Step 6: Final answer
   x = 14,261.77