Finding the Third Proportional to 11,098 and 23,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,098 : 23,775.50 = 23,775.50 : x
2. Step 2: Convert to fraction form
   11,098/23,775.50 = 23,775.50/x
3. Step 3: Cross multiply
   11,098x = 23,775.50 × 23,775.50
4. Step 4: Simplify right side
   11,098x = 565,274,400.25
5. Step 5: Solve for x
   x = 565,274,400.25/11,098
6. Step 6: Final answer
   x = 50,934.80