Finding the Third Proportional to 35,948 and 77,350

Step by Step Solution

1. Step 1: Write the proportion equation
   35,948 : 77,350 = 77,350 : x
2. Step 2: Convert to fraction form
   35,948/77,350 = 77,350/x
3. Step 3: Cross multiply
   35,948x = 77,350 × 77,350
4. Step 4: Simplify right side
   35,948x = 5,983,022,500
5. Step 5: Solve for x
   x = 5,983,022,500/35,948
6. Step 6: Final answer
   x = 166,435.48