Finding the Third Proportional to 4,500.56 and 7,538.06

Step by Step Solution

1. Step 1: Write the proportion equation
   4,500.56 : 7,538.06 = 7,538.06 : x
2. Step 2: Convert to fraction form
   4,500.56/7,538.06 = 7,538.06/x
3. Step 3: Cross multiply
   4,500.56x = 7,538.06 × 7,538.06
4. Step 4: Simplify right side
   4,500.56x = 56,822,386.25
5. Step 5: Solve for x
   x = 56,822,386.25/4,500.56
6. Step 6: Final answer
   x = 12,625.62