Finding the Third Proportional to 10,296 and 22,583.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296 : 22,583.25 = 22,583.25 : x
2. Step 2: Convert to fraction form
   10,296/22,583.25 = 22,583.25/x
3. Step 3: Cross multiply
   10,296x = 22,583.25 × 22,583.25
4. Step 4: Simplify right side
   10,296x = 510,003,180.56
5. Step 5: Solve for x
   x = 510,003,180.56/10,296
6. Step 6: Final answer
   x = 49,534.11