Finding the Third Proportional to 35,902 and 76,690

Step by Step Solution

1. Step 1: Write the proportion equation
   35,902 : 76,690 = 76,690 : x
2. Step 2: Convert to fraction form
   35,902/76,690 = 76,690/x
3. Step 3: Cross multiply
   35,902x = 76,690 × 76,690
4. Step 4: Simplify right side
   35,902x = 5,881,356,100
5. Step 5: Solve for x
   x = 5,881,356,100/35,902
6. Step 6: Final answer
   x = 163,816.95