Finding the Third Proportional to 7,573.50 and 15,524.16

Step by Step Solution

1. Step 1: Write the proportion equation
   7,573.50 : 15,524.16 = 15,524.16 : x
2. Step 2: Convert to fraction form
   7,573.50/15,524.16 = 15,524.16/x
3. Step 3: Cross multiply
   7,573.50x = 15,524.16 × 15,524.16
4. Step 4: Simplify right side
   7,573.50x = 240,999,427.27
5. Step 5: Solve for x
   x = 240,999,427.27/7,573.50
6. Step 6: Final answer
   x = 31,821.41