Finding the Third Proportional to 31,400 and 45,916

Step by Step Solution

1. Step 1: Write the proportion equation
   31,400 : 45,916 = 45,916 : x
2. Step 2: Convert to fraction form
   31,400/45,916 = 45,916/x
3. Step 3: Cross multiply
   31,400x = 45,916 × 45,916
4. Step 4: Simplify right side
   31,400x = 2,108,279,056
5. Step 5: Solve for x
   x = 2,108,279,056/31,400
6. Step 6: Final answer
   x = 67,142.65