Finding the Third Proportional to 10,366 and 12,188

Step by Step Solution

1. Step 1: Write the proportion equation
   10,366 : 12,188 = 12,188 : x
2. Step 2: Convert to fraction form
   10,366/12,188 = 12,188/x
3. Step 3: Cross multiply
   10,366x = 12,188 × 12,188
4. Step 4: Simplify right side
   10,366x = 148,547,344
5. Step 5: Solve for x
   x = 148,547,344/10,366
6. Step 6: Final answer
   x = 14,330.25