Finding the Third Proportional to 34.59 and 51.47

Step by Step Solution

1. Step 1: Write the proportion equation
   34.59 : 51.47 = 51.47 : x
2. Step 2: Convert to fraction form
   34.59/51.47 = 51.47/x
3. Step 3: Cross multiply
   34.59x = 51.47 × 51.47
4. Step 4: Simplify right side
   34.59x = 2,649.03
5. Step 5: Solve for x
   x = 2,649.03/34.59
6. Step 6: Final answer
   x = 76.58