Finding the Third Proportional to 31,740 and 45,336

Step by Step Solution

1. Step 1: Write the proportion equation
   31,740 : 45,336 = 45,336 : x
2. Step 2: Convert to fraction form
   31,740/45,336 = 45,336/x
3. Step 3: Cross multiply
   31,740x = 45,336 × 45,336
4. Step 4: Simplify right side
   31,740x = 2,055,352,896
5. Step 5: Solve for x
   x = 2,055,352,896/31,740
6. Step 6: Final answer
   x = 64,755.92