Finding the Third Proportional to 38,184 and 57,816

Step by Step Solution

1. Step 1: Write the proportion equation
   38,184 : 57,816 = 57,816 : x
2. Step 2: Convert to fraction form
   38,184/57,816 = 57,816/x
3. Step 3: Cross multiply
   38,184x = 57,816 × 57,816
4. Step 4: Simplify right side
   38,184x = 3,342,689,856
5. Step 5: Solve for x
   x = 3,342,689,856/38,184
6. Step 6: Final answer
   x = 87,541.64