Finding the Third Proportional to 14,892 and 35,880

Step by Step Solution

1. Step 1: Write the proportion equation
   14,892 : 35,880 = 35,880 : x
2. Step 2: Convert to fraction form
   14,892/35,880 = 35,880/x
3. Step 3: Cross multiply
   14,892x = 35,880 × 35,880
4. Step 4: Simplify right side
   14,892x = 1,287,374,400
5. Step 5: Solve for x
   x = 1,287,374,400/14,892
6. Step 6: Final answer
   x = 86,447.38