Finding the Third Proportional to 11,138.13 and 27,645.05

Step by Step Solution

1. Step 1: Write the proportion equation
   11,138.13 : 27,645.05 = 27,645.05 : x
2. Step 2: Convert to fraction form
   11,138.13/27,645.05 = 27,645.05/x
3. Step 3: Cross multiply
   11,138.13x = 27,645.05 × 27,645.05
4. Step 4: Simplify right side
   11,138.13x = 764,248,616.72
5. Step 5: Solve for x
   x = 764,248,616.72/11,138.13
6. Step 6: Final answer
   x = 68,615.51