Finding the Third Proportional to 2,412.56 and 4,892.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,412.56 : 4,892.06 = 4,892.06 : x
2. Step 2: Convert to fraction form
   2,412.56/4,892.06 = 4,892.06/x
3. Step 3: Cross multiply
   2,412.56x = 4,892.06 × 4,892.06
4. Step 4: Simplify right side
   2,412.56x = 23,932,275.50
5. Step 5: Solve for x
   x = 23,932,275.50/2,412.56
6. Step 6: Final answer
   x = 9,919.86