Finding the Third Proportional to 76,662 and 105,565

Step by Step Solution

1. Step 1: Write the proportion equation
   76,662 : 105,565 = 105,565 : x
2. Step 2: Convert to fraction form
   76,662/105,565 = 105,565/x
3. Step 3: Cross multiply
   76,662x = 105,565 × 105,565
4. Step 4: Simplify right side
   76,662x = 11,143,969,225
5. Step 5: Solve for x
   x = 11,143,969,225/76,662
6. Step 6: Final answer
   x = 145,364.97