Finding the Third Proportional to 42,448 and 83,822

Step by Step Solution

1. Step 1: Write the proportion equation
   42,448 : 83,822 = 83,822 : x
2. Step 2: Convert to fraction form
   42,448/83,822 = 83,822/x
3. Step 3: Cross multiply
   42,448x = 83,822 × 83,822
4. Step 4: Simplify right side
   42,448x = 7,026,127,684
5. Step 5: Solve for x
   x = 7,026,127,684/42,448
6. Step 6: Final answer
   x = 165,523.17