Finding the Third Proportional to 35,880 and 55,671

Step by Step Solution

1. Step 1: Write the proportion equation
   35,880 : 55,671 = 55,671 : x
2. Step 2: Convert to fraction form
   35,880/55,671 = 55,671/x
3. Step 3: Cross multiply
   35,880x = 55,671 × 55,671
4. Step 4: Simplify right side
   35,880x = 3,099,260,241
5. Step 5: Solve for x
   x = 3,099,260,241/35,880
6. Step 6: Final answer
   x = 86,378.49