Finding the Third Proportional to 34,825.50 and 76,327.88

Step by Step Solution

1. Step 1: Write the proportion equation
   34,825.50 : 76,327.88 = 76,327.88 : x
2. Step 2: Convert to fraction form
   34,825.50/76,327.88 = 76,327.88/x
3. Step 3: Cross multiply
   34,825.50x = 76,327.88 × 76,327.88
4. Step 4: Simplify right side
   34,825.50x = 5,825,944,502.02
5. Step 5: Solve for x
   x = 5,825,944,502.02/34,825.50
6. Step 6: Final answer
   x = 167,289.62