Finding the Third Proportional to 32,184 and 49,736

Step by Step Solution

1. Step 1: Write the proportion equation
   32,184 : 49,736 = 49,736 : x
2. Step 2: Convert to fraction form
   32,184/49,736 = 49,736/x
3. Step 3: Cross multiply
   32,184x = 49,736 × 49,736
4. Step 4: Simplify right side
   32,184x = 2,473,669,696
5. Step 5: Solve for x
   x = 2,473,669,696/32,184
6. Step 6: Final answer
   x = 76,860.23