Finding the Third Proportional to 10,023.75 and 21,778.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,023.75 : 21,778.88 = 21,778.88 : x
2. Step 2: Convert to fraction form
   10,023.75/21,778.88 = 21,778.88/x
3. Step 3: Cross multiply
   10,023.75x = 21,778.88 × 21,778.88
4. Step 4: Simplify right side
   10,023.75x = 474,319,396.27
5. Step 5: Solve for x
   x = 474,319,396.27/10,023.75
6. Step 6: Final answer
   x = 47,319.56