Finding the Third Proportional to 42,830 and 65,883

Step by Step Solution

1. Step 1: Write the proportion equation
   42,830 : 65,883 = 65,883 : x
2. Step 2: Convert to fraction form
   42,830/65,883 = 65,883/x
3. Step 3: Cross multiply
   42,830x = 65,883 × 65,883
4. Step 4: Simplify right side
   42,830x = 4,340,569,689
5. Step 5: Solve for x
   x = 4,340,569,689/42,830
6. Step 6: Final answer
   x = 101,344.14