Finding the Third Proportional to 31,822 and 45,240

Step by Step Solution

1. Step 1: Write the proportion equation
   31,822 : 45,240 = 45,240 : x
2. Step 2: Convert to fraction form
   31,822/45,240 = 45,240/x
3. Step 3: Cross multiply
   31,822x = 45,240 × 45,240
4. Step 4: Simplify right side
   31,822x = 2,046,657,600
5. Step 5: Solve for x
   x = 2,046,657,600/31,822
6. Step 6: Final answer
   x = 64,315.81