Finding the Third Proportional to 31,899 and 45,663

Step by Step Solution

1. Step 1: Write the proportion equation
   31,899 : 45,663 = 45,663 : x
2. Step 2: Convert to fraction form
   31,899/45,663 = 45,663/x
3. Step 3: Cross multiply
   31,899x = 45,663 × 45,663
4. Step 4: Simplify right side
   31,899x = 2,085,109,569
5. Step 5: Solve for x
   x = 2,085,109,569/31,899
6. Step 6: Final answer
   x = 65,365.99