Finding the Third Proportional to 35,833.50 and 76,689

Step by Step Solution

1. Step 1: Write the proportion equation
   35,833.50 : 76,689 = 76,689 : x
2. Step 2: Convert to fraction form
   35,833.50/76,689 = 76,689/x
3. Step 3: Cross multiply
   35,833.50x = 76,689 × 76,689
4. Step 4: Simplify right side
   35,833.50x = 5,881,202,721
5. Step 5: Solve for x
   x = 5,881,202,721/35,833.50
6. Step 6: Final answer
   x = 164,125.82