Finding the Third Proportional to 35,872 and 55,320

Step by Step Solution

1. Step 1: Write the proportion equation
   35,872 : 55,320 = 55,320 : x
2. Step 2: Convert to fraction form
   35,872/55,320 = 55,320/x
3. Step 3: Cross multiply
   35,872x = 55,320 × 55,320
4. Step 4: Simplify right side
   35,872x = 3,060,302,400
5. Step 5: Solve for x
   x = 3,060,302,400/35,872
6. Step 6: Final answer
   x = 85,311.73