Finding the Third Proportional to 36,962 and 65,716

Step by Step Solution

1. Step 1: Write the proportion equation
   36,962 : 65,716 = 65,716 : x
2. Step 2: Convert to fraction form
   36,962/65,716 = 65,716/x
3. Step 3: Cross multiply
   36,962x = 65,716 × 65,716
4. Step 4: Simplify right side
   36,962x = 4,318,592,656
5. Step 5: Solve for x
   x = 4,318,592,656/36,962
6. Step 6: Final answer
   x = 116,838.72