Finding the Third Proportional to 42,849 and 65,913.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,849 : 65,913.75 = 65,913.75 : x
2. Step 2: Convert to fraction form
   42,849/65,913.75 = 65,913.75/x
3. Step 3: Cross multiply
   42,849x = 65,913.75 × 65,913.75
4. Step 4: Simplify right side
   42,849x = 4,344,622,439.06
5. Step 5: Solve for x
   x = 4,344,622,439.06/42,849
6. Step 6: Final answer
   x = 101,393.79