Finding the Third Proportional to 52,901 and 71,765

Step by Step Solution

1. Step 1: Write the proportion equation
   52,901 : 71,765 = 71,765 : x
2. Step 2: Convert to fraction form
   52,901/71,765 = 71,765/x
3. Step 3: Cross multiply
   52,901x = 71,765 × 71,765
4. Step 4: Simplify right side
   52,901x = 5,150,215,225
5. Step 5: Solve for x
   x = 5,150,215,225/52,901
6. Step 6: Final answer
   x = 97,355.73