Finding the Third Proportional to 11,023 and 23,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,023 : 23,788.50 = 23,788.50 : x
2. Step 2: Convert to fraction form
   11,023/23,788.50 = 23,788.50/x
3. Step 3: Cross multiply
   11,023x = 23,788.50 × 23,788.50
4. Step 4: Simplify right side
   11,023x = 565,892,732.25
5. Step 5: Solve for x
   x = 565,892,732.25/11,023
6. Step 6: Final answer
   x = 51,337.45