Finding the Third Proportional to 31,122 and 67,184

Step by Step Solution

1. Step 1: Write the proportion equation
   31,122 : 67,184 = 67,184 : x
2. Step 2: Convert to fraction form
   31,122/67,184 = 67,184/x
3. Step 3: Cross multiply
   31,122x = 67,184 × 67,184
4. Step 4: Simplify right side
   31,122x = 4,513,689,856
5. Step 5: Solve for x
   x = 4,513,689,856/31,122
6. Step 6: Final answer
   x = 145,032.13