Finding the Third Proportional to 2,422.83 and 5,232.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,422.83 : 5,232.52 = 5,232.52 : x
2. Step 2: Convert to fraction form
   2,422.83/5,232.52 = 5,232.52/x
3. Step 3: Cross multiply
   2,422.83x = 5,232.52 × 5,232.52
4. Step 4: Simplify right side
   2,422.83x = 27,379,219.77
5. Step 5: Solve for x
   x = 27,379,219.77/2,422.83
6. Step 6: Final answer
   x = 11,300.52