Finding the Third Proportional to 2,036.25 and 4,847.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,036.25 : 4,847.63 = 4,847.63 : x
2. Step 2: Convert to fraction form
   2,036.25/4,847.63 = 4,847.63/x
3. Step 3: Cross multiply
   2,036.25x = 4,847.63 × 4,847.63
4. Step 4: Simplify right side
   2,036.25x = 23,499,468.14
5. Step 5: Solve for x
   x = 23,499,468.14/2,036.25
6. Step 6: Final answer
   x = 11,540.56