Finding the Third Proportional to 89.53 and 131.63

Step by Step Solution

1. Step 1: Write the proportion equation
   89.53 : 131.63 = 131.63 : x
2. Step 2: Convert to fraction form
   89.53/131.63 = 131.63/x
3. Step 3: Cross multiply
   89.53x = 131.63 × 131.63
4. Step 4: Simplify right side
   89.53x = 17,325.14
5. Step 5: Solve for x
   x = 17,325.14/89.53
6. Step 6: Final answer
   x = 193.51