Finding the Third Proportional to 32.48 and 71.51

Step by Step Solution

1. Step 1: Write the proportion equation
   32.48 : 71.51 = 71.51 : x
2. Step 2: Convert to fraction form
   32.48/71.51 = 71.51/x
3. Step 3: Cross multiply
   32.48x = 71.51 × 71.51
4. Step 4: Simplify right side
   32.48x = 5,113.37
5. Step 5: Solve for x
   x = 5,113.37/32.48
6. Step 6: Final answer
   x = 157.41