Finding the Third Proportional to 42,394 and 65,684

Step by Step Solution

1. Step 1: Write the proportion equation
   42,394 : 65,684 = 65,684 : x
2. Step 2: Convert to fraction form
   42,394/65,684 = 65,684/x
3. Step 3: Cross multiply
   42,394x = 65,684 × 65,684
4. Step 4: Simplify right side
   42,394x = 4,314,387,856
5. Step 5: Solve for x
   x = 4,314,387,856/42,394
6. Step 6: Final answer
   x = 101,768.83