Finding the Third Proportional to 71.81 and 114.75

Step by Step Solution

1. Step 1: Write the proportion equation
   71.81 : 114.75 = 114.75 : x
2. Step 2: Convert to fraction form
   71.81/114.75 = 114.75/x
3. Step 3: Cross multiply
   71.81x = 114.75 × 114.75
4. Step 4: Simplify right side
   71.81x = 13,167.56
5. Step 5: Solve for x
   x = 13,167.56/71.81
6. Step 6: Final answer
   x = 183.36