Finding the Third Proportional to 42,442 and 83,810

Step by Step Solution

1. Step 1: Write the proportion equation
   42,442 : 83,810 = 83,810 : x
2. Step 2: Convert to fraction form
   42,442/83,810 = 83,810/x
3. Step 3: Cross multiply
   42,442x = 83,810 × 83,810
4. Step 4: Simplify right side
   42,442x = 7,024,116,100
5. Step 5: Solve for x
   x = 7,024,116,100/42,442
6. Step 6: Final answer
   x = 165,499.18