Finding the Third Proportional to 65.13 and 137.88

Step by Step Solution

1. Step 1: Write the proportion equation
   65.13 : 137.88 = 137.88 : x
2. Step 2: Convert to fraction form
   65.13/137.88 = 137.88/x
3. Step 3: Cross multiply
   65.13x = 137.88 × 137.88
4. Step 4: Simplify right side
   65.13x = 19,009.52
5. Step 5: Solve for x
   x = 19,009.52/65.13
6. Step 6: Final answer
   x = 291.89