Finding the Third Proportional to 3,892.43 and 5,885.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.43 : 5,885.16 = 5,885.16 : x
2. Step 2: Convert to fraction form
   3,892.43/5,885.16 = 5,885.16/x
3. Step 3: Cross multiply
   3,892.43x = 5,885.16 × 5,885.16
4. Step 4: Simplify right side
   3,892.43x = 34,635,064.09
5. Step 5: Solve for x
   x = 34,635,064.09/3,892.43
6. Step 6: Final answer
   x = 8,898.06