Finding the Third Proportional to 32,184 and 35,028

Step by Step Solution

1. Step 1: Write the proportion equation
   32,184 : 35,028 = 35,028 : x
2. Step 2: Convert to fraction form
   32,184/35,028 = 35,028/x
3. Step 3: Cross multiply
   32,184x = 35,028 × 35,028
4. Step 4: Simplify right side
   32,184x = 1,226,960,784
5. Step 5: Solve for x
   x = 1,226,960,784/32,184
6. Step 6: Final answer
   x = 38,123.32