Finding the Third Proportional to 31,898 and 45,660

Step by Step Solution

1. Step 1: Write the proportion equation
   31,898 : 45,660 = 45,660 : x
2. Step 2: Convert to fraction form
   31,898/45,660 = 45,660/x
3. Step 3: Cross multiply
   31,898x = 45,660 × 45,660
4. Step 4: Simplify right side
   31,898x = 2,084,835,600
5. Step 5: Solve for x
   x = 2,084,835,600/31,898
6. Step 6: Final answer
   x = 65,359.45