Finding the Third Proportional to 61.63 and 130.72

Step by Step Solution

1. Step 1: Write the proportion equation
   61.63 : 130.72 = 130.72 : x
2. Step 2: Convert to fraction form
   61.63/130.72 = 130.72/x
3. Step 3: Cross multiply
   61.63x = 130.72 × 130.72
4. Step 4: Simplify right side
   61.63x = 17,087.39
5. Step 5: Solve for x
   x = 17,087.39/61.63
6. Step 6: Final answer
   x = 277.28