Finding the Third Proportional to 35,950 and 54,426

Step by Step Solution

1. Step 1: Write the proportion equation
   35,950 : 54,426 = 54,426 : x
2. Step 2: Convert to fraction form
   35,950/54,426 = 54,426/x
3. Step 3: Cross multiply
   35,950x = 54,426 × 54,426
4. Step 4: Simplify right side
   35,950x = 2,962,189,476
5. Step 5: Solve for x
   x = 2,962,189,476/35,950
6. Step 6: Final answer
   x = 82,397.48