Finding the Third Proportional to 11,094 and 12,534

Step by Step Solution

1. Step 1: Write the proportion equation
   11,094 : 12,534 = 12,534 : x
2. Step 2: Convert to fraction form
   11,094/12,534 = 12,534/x
3. Step 3: Cross multiply
   11,094x = 12,534 × 12,534
4. Step 4: Simplify right side
   11,094x = 157,101,156
5. Step 5: Solve for x
   x = 157,101,156/11,094
6. Step 6: Final answer
   x = 14,160.91