Finding the Third Proportional to 31,374 and 46,521

Step by Step Solution

1. Step 1: Write the proportion equation
   31,374 : 46,521 = 46,521 : x
2. Step 2: Convert to fraction form
   31,374/46,521 = 46,521/x
3. Step 3: Cross multiply
   31,374x = 46,521 × 46,521
4. Step 4: Simplify right side
   31,374x = 2,164,203,441
5. Step 5: Solve for x
   x = 2,164,203,441/31,374
6. Step 6: Final answer
   x = 68,980.79