Finding the Third Proportional to 42,444 and 83,814

Step by Step Solution

1. Step 1: Write the proportion equation
   42,444 : 83,814 = 83,814 : x
2. Step 2: Convert to fraction form
   42,444/83,814 = 83,814/x
3. Step 3: Cross multiply
   42,444x = 83,814 × 83,814
4. Step 4: Simplify right side
   42,444x = 7,024,786,596
5. Step 5: Solve for x
   x = 7,024,786,596/42,444
6. Step 6: Final answer
   x = 165,507.18