Finding the Third Proportional to 5,437.13 and 7,632.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,437.13 : 7,632.56 = 7,632.56 : x
2. Step 2: Convert to fraction form
   5,437.13/7,632.56 = 7,632.56/x
3. Step 3: Cross multiply
   5,437.13x = 7,632.56 × 7,632.56
4. Step 4: Simplify right side
   5,437.13x = 58,256,010.32
5. Step 5: Solve for x
   x = 58,256,010.32/5,437.13
6. Step 6: Final answer
   x = 10,714.49