Finding the Third Proportional to 89.13 and 137.95

Step by Step Solution

1. Step 1: Write the proportion equation
   89.13 : 137.95 = 137.95 : x
2. Step 2: Convert to fraction form
   89.13/137.95 = 137.95/x
3. Step 3: Cross multiply
   89.13x = 137.95 × 137.95
4. Step 4: Simplify right side
   89.13x = 19,031.06
5. Step 5: Solve for x
   x = 19,031.06/89.13
6. Step 6: Final answer
   x = 213.51