Finding the Third Proportional to 2,981.25 and 4,775.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,981.25 : 4,775.63 = 4,775.63 : x
2. Step 2: Convert to fraction form
   2,981.25/4,775.63 = 4,775.63/x
3. Step 3: Cross multiply
   2,981.25x = 4,775.63 × 4,775.63
4. Step 4: Simplify right side
   2,981.25x = 22,806,594.14
5. Step 5: Solve for x
   x = 22,806,594.14/2,981.25
6. Step 6: Final answer
   x = 7,650.01