Finding the Third Proportional to 31,796 and 54,156

Step by Step Solution

1. Step 1: Write the proportion equation
   31,796 : 54,156 = 54,156 : x
2. Step 2: Convert to fraction form
   31,796/54,156 = 54,156/x
3. Step 3: Cross multiply
   31,796x = 54,156 × 54,156
4. Step 4: Simplify right side
   31,796x = 2,932,872,336
5. Step 5: Solve for x
   x = 2,932,872,336/31,796
6. Step 6: Final answer
   x = 92,240.29