Finding the Third Proportional to 35,461 and 55,635

Step by Step Solution

1. Step 1: Write the proportion equation
   35,461 : 55,635 = 55,635 : x
2. Step 2: Convert to fraction form
   35,461/55,635 = 55,635/x
3. Step 3: Cross multiply
   35,461x = 55,635 × 55,635
4. Step 4: Simplify right side
   35,461x = 3,095,253,225
5. Step 5: Solve for x
   x = 3,095,253,225/35,461
6. Step 6: Final answer
   x = 87,286.12