Finding the Third Proportional to 61.80 and 133.52

Step by Step Solution

1. Step 1: Write the proportion equation
   61.80 : 133.52 = 133.52 : x
2. Step 2: Convert to fraction form
   61.80/133.52 = 133.52/x
3. Step 3: Cross multiply
   61.80x = 133.52 × 133.52
4. Step 4: Simplify right side
   61.80x = 17,828.51
5. Step 5: Solve for x
   x = 17,828.51/61.80
6. Step 6: Final answer
   x = 288.47