Finding the Third Proportional to 64.07 and 102.52

Step by Step Solution

1. Step 1: Write the proportion equation
   64.07 : 102.52 = 102.52 : x
2. Step 2: Convert to fraction form
   64.07/102.52 = 102.52/x
3. Step 3: Cross multiply
   64.07x = 102.52 × 102.52
4. Step 4: Simplify right side
   64.07x = 10,509.45
5. Step 5: Solve for x
   x = 10,509.45/64.07
6. Step 6: Final answer
   x = 164.03