Finding the Third Proportional to 38,184 and 57,696

Step by Step Solution

1. Step 1: Write the proportion equation
   38,184 : 57,696 = 57,696 : x
2. Step 2: Convert to fraction form
   38,184/57,696 = 57,696/x
3. Step 3: Cross multiply
   38,184x = 57,696 × 57,696
4. Step 4: Simplify right side
   38,184x = 3,328,828,416
5. Step 5: Solve for x
   x = 3,328,828,416/38,184
6. Step 6: Final answer
   x = 87,178.62