Finding the Third Proportional to 42,962 and 65,037

Step by Step Solution

1. Step 1: Write the proportion equation
   42,962 : 65,037 = 65,037 : x
2. Step 2: Convert to fraction form
   42,962/65,037 = 65,037/x
3. Step 3: Cross multiply
   42,962x = 65,037 × 65,037
4. Step 4: Simplify right side
   42,962x = 4,229,811,369
5. Step 5: Solve for x
   x = 4,229,811,369/42,962
6. Step 6: Final answer
   x = 98,454.71