Finding the Third Proportional to 11,220 and 23,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,220 : 23,623.50 = 23,623.50 : x
2. Step 2: Convert to fraction form
   11,220/23,623.50 = 23,623.50/x
3. Step 3: Cross multiply
   11,220x = 23,623.50 × 23,623.50
4. Step 4: Simplify right side
   11,220x = 558,069,752.25
5. Step 5: Solve for x
   x = 558,069,752.25/11,220
6. Step 6: Final answer
   x = 49,738.84