Finding the Third Proportional to 4,992.94 and 7,763.06

Step by Step Solution

1. Step 1: Write the proportion equation
   4,992.94 : 7,763.06 = 7,763.06 : x
2. Step 2: Convert to fraction form
   4,992.94/7,763.06 = 7,763.06/x
3. Step 3: Cross multiply
   4,992.94x = 7,763.06 × 7,763.06
4. Step 4: Simplify right side
   4,992.94x = 60,265,139.38
5. Step 5: Solve for x
   x = 60,265,139.38/4,992.94
6. Step 6: Final answer
   x = 12,070.08