Finding the Third Proportional to 42,396 and 83,724

Step by Step Solution

1. Step 1: Write the proportion equation
   42,396 : 83,724 = 83,724 : x
2. Step 2: Convert to fraction form
   42,396/83,724 = 83,724/x
3. Step 3: Cross multiply
   42,396x = 83,724 × 83,724
4. Step 4: Simplify right side
   42,396x = 7,009,708,176
5. Step 5: Solve for x
   x = 7,009,708,176/42,396
6. Step 6: Final answer
   x = 165,338.90