Finding the Third Proportional to 27.53 and 40.34

Step by Step Solution

1. Step 1: Write the proportion equation
   27.53 : 40.34 = 40.34 : x
2. Step 2: Convert to fraction form
   27.53/40.34 = 40.34/x
3. Step 3: Cross multiply
   27.53x = 40.34 × 40.34
4. Step 4: Simplify right side
   27.53x = 1,627.46
5. Step 5: Solve for x
   x = 1,627.46/27.53
6. Step 6: Final answer
   x = 59.12