Finding the Third Proportional to 31,228 and 45,140

Step by Step Solution

1. Step 1: Write the proportion equation
   31,228 : 45,140 = 45,140 : x
2. Step 2: Convert to fraction form
   31,228/45,140 = 45,140/x
3. Step 3: Cross multiply
   31,228x = 45,140 × 45,140
4. Step 4: Simplify right side
   31,228x = 2,037,619,600
5. Step 5: Solve for x
   x = 2,037,619,600/31,228
6. Step 6: Final answer
   x = 65,249.76