Finding the Third Proportional to 42,983 and 65,709

Step by Step Solution

1. Step 1: Write the proportion equation
   42,983 : 65,709 = 65,709 : x
2. Step 2: Convert to fraction form
   42,983/65,709 = 65,709/x
3. Step 3: Cross multiply
   42,983x = 65,709 × 65,709
4. Step 4: Simplify right side
   42,983x = 4,317,672,681
5. Step 5: Solve for x
   x = 4,317,672,681/42,983
6. Step 6: Final answer
   x = 100,450.71