Finding the Third Proportional to 29.69 and 64.25

Step by Step Solution

1. Step 1: Write the proportion equation
   29.69 : 64.25 = 64.25 : x
2. Step 2: Convert to fraction form
   29.69/64.25 = 64.25/x
3. Step 3: Cross multiply
   29.69x = 64.25 × 64.25
4. Step 4: Simplify right side
   29.69x = 4,128.06
5. Step 5: Solve for x
   x = 4,128.06/29.69
6. Step 6: Final answer
   x = 139.05