Finding the Third Proportional to 35,643 and 76,812

Step by Step Solution

1. Step 1: Write the proportion equation
   35,643 : 76,812 = 76,812 : x
2. Step 2: Convert to fraction form
   35,643/76,812 = 76,812/x
3. Step 3: Cross multiply
   35,643x = 76,812 × 76,812
4. Step 4: Simplify right side
   35,643x = 5,900,083,344
5. Step 5: Solve for x
   x = 5,900,083,344/35,643
6. Step 6: Final answer
   x = 165,532.74