Finding the Third Proportional to 31,404 and 67,358

Step by Step Solution

1. Step 1: Write the proportion equation
   31,404 : 67,358 = 67,358 : x
2. Step 2: Convert to fraction form
   31,404/67,358 = 67,358/x
3. Step 3: Cross multiply
   31,404x = 67,358 × 67,358
4. Step 4: Simplify right side
   31,404x = 4,537,100,164
5. Step 5: Solve for x
   x = 4,537,100,164/31,404
6. Step 6: Final answer
   x = 144,475.23