Finding the Third Proportional to 10,536 and 15,773.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536 : 15,773.25 = 15,773.25 : x
2. Step 2: Convert to fraction form
   10,536/15,773.25 = 15,773.25/x
3. Step 3: Cross multiply
   10,536x = 15,773.25 × 15,773.25
4. Step 4: Simplify right side
   10,536x = 248,795,415.56
5. Step 5: Solve for x
   x = 248,795,415.56/10,536
6. Step 6: Final answer
   x = 23,613.84