Finding the Third Proportional to 2,184 and 2,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,184 : 2,906.50 = 2,906.50 : x
2. Step 2: Convert to fraction form
   2,184/2,906.50 = 2,906.50/x
3. Step 3: Cross multiply
   2,184x = 2,906.50 × 2,906.50
4. Step 4: Simplify right side
   2,184x = 8,447,742.25
5. Step 5: Solve for x
   x = 8,447,742.25/2,184
6. Step 6: Final answer
   x = 3,868.01