Finding the Third Proportional to 76,665 and 105,570

Step by Step Solution

1. Step 1: Write the proportion equation
   76,665 : 105,570 = 105,570 : x
2. Step 2: Convert to fraction form
   76,665/105,570 = 105,570/x
3. Step 3: Cross multiply
   76,665x = 105,570 × 105,570
4. Step 4: Simplify right side
   76,665x = 11,145,024,900
5. Step 5: Solve for x
   x = 11,145,024,900/76,665
6. Step 6: Final answer
   x = 145,373.05