Finding the Third Proportional to 34,090 and 72,555

Step by Step Solution

1. Step 1: Write the proportion equation
   34,090 : 72,555 = 72,555 : x
2. Step 2: Convert to fraction form
   34,090/72,555 = 72,555/x
3. Step 3: Cross multiply
   34,090x = 72,555 × 72,555
4. Step 4: Simplify right side
   34,090x = 5,264,228,025
5. Step 5: Solve for x
   x = 5,264,228,025/34,090
6. Step 6: Final answer
   x = 154,421.47