Finding the Third Proportional to 31,138 and 45,374

Step by Step Solution

1. Step 1: Write the proportion equation
   31,138 : 45,374 = 45,374 : x
2. Step 2: Convert to fraction form
   31,138/45,374 = 45,374/x
3. Step 3: Cross multiply
   31,138x = 45,374 × 45,374
4. Step 4: Simplify right side
   31,138x = 2,058,799,876
5. Step 5: Solve for x
   x = 2,058,799,876/31,138
6. Step 6: Final answer
   x = 66,118.56