Finding the Third Proportional to 31,878 and 45,849

Step by Step Solution

1. Step 1: Write the proportion equation
   31,878 : 45,849 = 45,849 : x
2. Step 2: Convert to fraction form
   31,878/45,849 = 45,849/x
3. Step 3: Cross multiply
   31,878x = 45,849 × 45,849
4. Step 4: Simplify right side
   31,878x = 2,102,130,801
5. Step 5: Solve for x
   x = 2,102,130,801/31,878
6. Step 6: Final answer
   x = 65,943.00