Finding the Third Proportional to 34,554.09 and 75,679.31

Step by Step Solution

1. Step 1: Write the proportion equation
   34,554.09 : 75,679.31 = 75,679.31 : x
2. Step 2: Convert to fraction form
   34,554.09/75,679.31 = 75,679.31/x
3. Step 3: Cross multiply
   34,554.09x = 75,679.31 × 75,679.31
4. Step 4: Simplify right side
   34,554.09x = 5,727,358,340.47
5. Step 5: Solve for x
   x = 5,727,358,340.47/34,554.09
6. Step 6: Final answer
   x = 165,750.50