Finding the Third Proportional to 52,005 and 82,760

Step by Step Solution

1. Step 1: Write the proportion equation
   52,005 : 82,760 = 82,760 : x
2. Step 2: Convert to fraction form
   52,005/82,760 = 82,760/x
3. Step 3: Cross multiply
   52,005x = 82,760 × 82,760
4. Step 4: Simplify right side
   52,005x = 6,849,217,600
5. Step 5: Solve for x
   x = 6,849,217,600/52,005
6. Step 6: Final answer
   x = 131,703.06