Finding the Third Proportional to 42,853 and 65,909

Step by Step Solution

1. Step 1: Write the proportion equation
   42,853 : 65,909 = 65,909 : x
2. Step 2: Convert to fraction form
   42,853/65,909 = 65,909/x
3. Step 3: Cross multiply
   42,853x = 65,909 × 65,909
4. Step 4: Simplify right side
   42,853x = 4,343,996,281
5. Step 5: Solve for x
   x = 4,343,996,281/42,853
6. Step 6: Final answer
   x = 101,369.71