Finding the Third Proportional to 45,768 and 71,328

Step by Step Solution

1. Step 1: Write the proportion equation
   45,768 : 71,328 = 71,328 : x
2. Step 2: Convert to fraction form
   45,768/71,328 = 71,328/x
3. Step 3: Cross multiply
   45,768x = 71,328 × 71,328
4. Step 4: Simplify right side
   45,768x = 5,087,683,584
5. Step 5: Solve for x
   x = 5,087,683,584/45,768
6. Step 6: Final answer
   x = 111,162.46