Finding the Third Proportional to 40,726 and 65,716

Step by Step Solution

1. Step 1: Write the proportion equation
   40,726 : 65,716 = 65,716 : x
2. Step 2: Convert to fraction form
   40,726/65,716 = 65,716/x
3. Step 3: Cross multiply
   40,726x = 65,716 × 65,716
4. Step 4: Simplify right side
   40,726x = 4,318,592,656
5. Step 5: Solve for x
   x = 4,318,592,656/40,726
6. Step 6: Final answer
   x = 106,040.19