Finding the Third Proportional to 45.75 and 71.63

Step by Step Solution

1. Step 1: Write the proportion equation
   45.75 : 71.63 = 71.63 : x
2. Step 2: Convert to fraction form
   45.75/71.63 = 71.63/x
3. Step 3: Cross multiply
   45.75x = 71.63 × 71.63
4. Step 4: Simplify right side
   45.75x = 5,130.14
5. Step 5: Solve for x
   x = 5,130.14/45.75
6. Step 6: Final answer
   x = 112.13