Finding the Third Proportional to 5,037.75 and 7,784.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,037.75 : 7,784.25 = 7,784.25 : x
2. Step 2: Convert to fraction form
   5,037.75/7,784.25 = 7,784.25/x
3. Step 3: Cross multiply
   5,037.75x = 7,784.25 × 7,784.25
4. Step 4: Simplify right side
   5,037.75x = 60,594,548.06
5. Step 5: Solve for x
   x = 60,594,548.06/5,037.75
6. Step 6: Final answer
   x = 12,028.10