Finding the Third Proportional to 31,194 and 67,380

Step by Step Solution

1. Step 1: Write the proportion equation
   31,194 : 67,380 = 67,380 : x
2. Step 2: Convert to fraction form
   31,194/67,380 = 67,380/x
3. Step 3: Cross multiply
   31,194x = 67,380 × 67,380
4. Step 4: Simplify right side
   31,194x = 4,540,064,400
5. Step 5: Solve for x
   x = 4,540,064,400/31,194
6. Step 6: Final answer
   x = 145,542.87