Finding the Third Proportional to 35,768 and 76,156

Step by Step Solution

1. Step 1: Write the proportion equation
   35,768 : 76,156 = 76,156 : x
2. Step 2: Convert to fraction form
   35,768/76,156 = 76,156/x
3. Step 3: Cross multiply
   35,768x = 76,156 × 76,156
4. Step 4: Simplify right side
   35,768x = 5,799,736,336
5. Step 5: Solve for x
   x = 5,799,736,336/35,768
6. Step 6: Final answer
   x = 162,148.75