Finding the Third Proportional to 1,461.16 and 2,992.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.16 : 2,992.57 = 2,992.57 : x
2. Step 2: Convert to fraction form
   1,461.16/2,992.57 = 2,992.57/x
3. Step 3: Cross multiply
   1,461.16x = 2,992.57 × 2,992.57
4. Step 4: Simplify right side
   1,461.16x = 8,955,477.08
5. Step 5: Solve for x
   x = 8,955,477.08/1,461.16
6. Step 6: Final answer
   x = 6,129.00