Finding the Third Proportional to 11,200.50 and 23,585.06

Step by Step Solution

1. Step 1: Write the proportion equation
   11,200.50 : 23,585.06 = 23,585.06 : x
2. Step 2: Convert to fraction form
   11,200.50/23,585.06 = 23,585.06/x
3. Step 3: Cross multiply
   11,200.50x = 23,585.06 × 23,585.06
4. Step 4: Simplify right side
   11,200.50x = 556,255,173.13
5. Step 5: Solve for x
   x = 556,255,173.13/11,200.50
6. Step 6: Final answer
   x = 49,663.42