Finding the Third Proportional to 43,767 and 71,578.13

Step by Step Solution

1. Step 1: Write the proportion equation
   43,767 : 71,578.13 = 71,578.13 : x
2. Step 2: Convert to fraction form
   43,767/71,578.13 = 71,578.13/x
3. Step 3: Cross multiply
   43,767x = 71,578.13 × 71,578.13
4. Step 4: Simplify right side
   43,767x = 5,123,427,978.52
5. Step 5: Solve for x
   x = 5,123,427,978.52/43,767
6. Step 6: Final answer
   x = 117,061.44