Finding the Third Proportional to 42,288 and 65,853

Step by Step Solution

1. Step 1: Write the proportion equation
   42,288 : 65,853 = 65,853 : x
2. Step 2: Convert to fraction form
   42,288/65,853 = 65,853/x
3. Step 3: Cross multiply
   42,288x = 65,853 × 65,853
4. Step 4: Simplify right side
   42,288x = 4,336,617,609
5. Step 5: Solve for x
   x = 4,336,617,609/42,288
6. Step 6: Final answer
   x = 102,549.60