Finding the Third Proportional to 6,156 and 13,080.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,156 : 13,080.38 = 13,080.38 : x
2. Step 2: Convert to fraction form
   6,156/13,080.38 = 13,080.38/x
3. Step 3: Cross multiply
   6,156x = 13,080.38 × 13,080.38
4. Step 4: Simplify right side
   6,156x = 171,096,210.14
5. Step 5: Solve for x
   x = 171,096,210.14/6,156
6. Step 6: Final answer
   x = 27,793.41