Finding the Third Proportional to 48,726 and 65,744

Step by Step Solution

1. Step 1: Write the proportion equation
   48,726 : 65,744 = 65,744 : x
2. Step 2: Convert to fraction form
   48,726/65,744 = 65,744/x
3. Step 3: Cross multiply
   48,726x = 65,744 × 65,744
4. Step 4: Simplify right side
   48,726x = 4,322,273,536
5. Step 5: Solve for x
   x = 4,322,273,536/48,726
6. Step 6: Final answer
   x = 88,705.69