Finding the Third Proportional to 23,120 and 35,778

Step by Step Solution

1. Step 1: Write the proportion equation
   23,120 : 35,778 = 35,778 : x
2. Step 2: Convert to fraction form
   23,120/35,778 = 35,778/x
3. Step 3: Cross multiply
   23,120x = 35,778 × 35,778
4. Step 4: Simplify right side
   23,120x = 1,280,065,284
5. Step 5: Solve for x
   x = 1,280,065,284/23,120
6. Step 6: Final answer
   x = 55,366.15