Finding the Third Proportional to 38,144.36 and 77,326.68

Step by Step Solution

1. Step 1: Write the proportion equation
   38,144.36 : 77,326.68 = 77,326.68 : x
2. Step 2: Convert to fraction form
   38,144.36/77,326.68 = 77,326.68/x
3. Step 3: Cross multiply
   38,144.36x = 77,326.68 × 77,326.68
4. Step 4: Simplify right side
   38,144.36x = 5,979,415,693.55
5. Step 5: Solve for x
   x = 5,979,415,693.55/38,144.36
6. Step 6: Final answer
   x = 156,757.55