Finding the Third Proportional to 76,661 and 105,564

Step by Step Solution

1. Step 1: Write the proportion equation
   76,661 : 105,564 = 105,564 : x
2. Step 2: Convert to fraction form
   76,661/105,564 = 105,564/x
3. Step 3: Cross multiply
   76,661x = 105,564 × 105,564
4. Step 4: Simplify right side
   76,661x = 11,143,758,096
5. Step 5: Solve for x
   x = 11,143,758,096/76,661
6. Step 6: Final answer
   x = 145,364.11