Finding the Third Proportional to 52,002 and 80,658

Step by Step Solution

1. Step 1: Write the proportion equation
   52,002 : 80,658 = 80,658 : x
2. Step 2: Convert to fraction form
   52,002/80,658 = 80,658/x
3. Step 3: Cross multiply
   52,002x = 80,658 × 80,658
4. Step 4: Simplify right side
   52,002x = 6,505,712,964
5. Step 5: Solve for x
   x = 6,505,712,964/52,002
6. Step 6: Final answer
   x = 125,105.05