Finding the Third Proportional to 31,166 and 49,017

Step by Step Solution

1. Step 1: Write the proportion equation
   31,166 : 49,017 = 49,017 : x
2. Step 2: Convert to fraction form
   31,166/49,017 = 49,017/x
3. Step 3: Cross multiply
   31,166x = 49,017 × 49,017
4. Step 4: Simplify right side
   31,166x = 2,402,666,289
5. Step 5: Solve for x
   x = 2,402,666,289/31,166
6. Step 6: Final answer
   x = 77,092.55