Finding the Third Proportional to 31,166 and 74,087

Step by Step Solution

1. Step 1: Write the proportion equation
   31,166 : 74,087 = 74,087 : x
2. Step 2: Convert to fraction form
   31,166/74,087 = 74,087/x
3. Step 3: Cross multiply
   31,166x = 74,087 × 74,087
4. Step 4: Simplify right side
   31,166x = 5,488,883,569
5. Step 5: Solve for x
   x = 5,488,883,569/31,166
6. Step 6: Final answer
   x = 176,117.68