Finding the Third Proportional to 35,865 and 76,610

Step by Step Solution

1. Step 1: Write the proportion equation
   35,865 : 76,610 = 76,610 : x
2. Step 2: Convert to fraction form
   35,865/76,610 = 76,610/x
3. Step 3: Cross multiply
   35,865x = 76,610 × 76,610
4. Step 4: Simplify right side
   35,865x = 5,869,092,100
5. Step 5: Solve for x
   x = 5,869,092,100/35,865
6. Step 6: Final answer
   x = 163,644.00