Finding the Third Proportional to 4,536 and 10,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,536 : 10,597.50 = 10,597.50 : x
2. Step 2: Convert to fraction form
   4,536/10,597.50 = 10,597.50/x
3. Step 3: Cross multiply
   4,536x = 10,597.50 × 10,597.50
4. Step 4: Simplify right side
   4,536x = 112,307,006.25
5. Step 5: Solve for x
   x = 112,307,006.25/4,536
6. Step 6: Final answer
   x = 24,759.04