Finding the Third Proportional to 89.23 and 137.53

Step by Step Solution

1. Step 1: Write the proportion equation
   89.23 : 137.53 = 137.53 : x
2. Step 2: Convert to fraction form
   89.23/137.53 = 137.53/x
3. Step 3: Cross multiply
   89.23x = 137.53 × 137.53
4. Step 4: Simplify right side
   89.23x = 18,914.84
5. Step 5: Solve for x
   x = 18,914.84/89.23
6. Step 6: Final answer
   x = 211.99