Finding the Third Proportional to 46.59 and 72.47

Step by Step Solution

1. Step 1: Write the proportion equation
   46.59 : 72.47 = 72.47 : x
2. Step 2: Convert to fraction form
   46.59/72.47 = 72.47/x
3. Step 3: Cross multiply
   46.59x = 72.47 × 72.47
4. Step 4: Simplify right side
   46.59x = 5,251.72
5. Step 5: Solve for x
   x = 5,251.72/46.59
6. Step 6: Final answer
   x = 112.71