Finding the Third Proportional to 36,549 and 55,224

Step by Step Solution

1. Step 1: Write the proportion equation
   36,549 : 55,224 = 55,224 : x
2. Step 2: Convert to fraction form
   36,549/55,224 = 55,224/x
3. Step 3: Cross multiply
   36,549x = 55,224 × 55,224
4. Step 4: Simplify right side
   36,549x = 3,049,690,176
5. Step 5: Solve for x
   x = 3,049,690,176/36,549
6. Step 6: Final answer
   x = 83,441.14