Finding the Third Proportional to 35,475 and 55,661

Step by Step Solution

1. Step 1: Write the proportion equation
   35,475 : 55,661 = 55,661 : x
2. Step 2: Convert to fraction form
   35,475/55,661 = 55,661/x
3. Step 3: Cross multiply
   35,475x = 55,661 × 55,661
4. Step 4: Simplify right side
   35,475x = 3,098,146,921
5. Step 5: Solve for x
   x = 3,098,146,921/35,475
6. Step 6: Final answer
   x = 87,333.25