Finding the Third Proportional to 31,980 and 46,812

Step by Step Solution

1. Step 1: Write the proportion equation
   31,980 : 46,812 = 46,812 : x
2. Step 2: Convert to fraction form
   31,980/46,812 = 46,812/x
3. Step 3: Cross multiply
   31,980x = 46,812 × 46,812
4. Step 4: Simplify right side
   31,980x = 2,191,363,344
5. Step 5: Solve for x
   x = 2,191,363,344/31,980
6. Step 6: Final answer
   x = 68,522.93