Finding the Third Proportional to 31,158 and 54,270

Step by Step Solution

1. Step 1: Write the proportion equation
   31,158 : 54,270 = 54,270 : x
2. Step 2: Convert to fraction form
   31,158/54,270 = 54,270/x
3. Step 3: Cross multiply
   31,158x = 54,270 × 54,270
4. Step 4: Simplify right side
   31,158x = 2,945,232,900
5. Step 5: Solve for x
   x = 2,945,232,900/31,158
6. Step 6: Final answer
   x = 94,525.74