Finding the Third Proportional to 31,674 and 70,380

Step by Step Solution

1. Step 1: Write the proportion equation
   31,674 : 70,380 = 70,380 : x
2. Step 2: Convert to fraction form
   31,674/70,380 = 70,380/x
3. Step 3: Cross multiply
   31,674x = 70,380 × 70,380
4. Step 4: Simplify right side
   31,674x = 4,953,344,400
5. Step 5: Solve for x
   x = 4,953,344,400/31,674
6. Step 6: Final answer
   x = 156,385.19