Finding the Third Proportional to 35,880 and 55,670

Step by Step Solution

1. Step 1: Write the proportion equation
   35,880 : 55,670 = 55,670 : x
2. Step 2: Convert to fraction form
   35,880/55,670 = 55,670/x
3. Step 3: Cross multiply
   35,880x = 55,670 × 55,670
4. Step 4: Simplify right side
   35,880x = 3,099,148,900
5. Step 5: Solve for x
   x = 3,099,148,900/35,880
6. Step 6: Final answer
   x = 86,375.39