Finding the Third Proportional to 5,042.25 and 7,772.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,042.25 : 7,772.63 = 7,772.63 : x
2. Step 2: Convert to fraction form
   5,042.25/7,772.63 = 7,772.63/x
3. Step 3: Cross multiply
   5,042.25x = 7,772.63 × 7,772.63
4. Step 4: Simplify right side
   5,042.25x = 60,413,699.39
5. Step 5: Solve for x
   x = 60,413,699.39/5,042.25
6. Step 6: Final answer
   x = 11,981.50