Finding the Third Proportional to 35,090 and 72,676

Step by Step Solution

1. Step 1: Write the proportion equation
   35,090 : 72,676 = 72,676 : x
2. Step 2: Convert to fraction form
   35,090/72,676 = 72,676/x
3. Step 3: Cross multiply
   35,090x = 72,676 × 72,676
4. Step 4: Simplify right side
   35,090x = 5,281,800,976
5. Step 5: Solve for x
   x = 5,281,800,976/35,090
6. Step 6: Final answer
   x = 150,521.54