Finding the Third Proportional to 33,624 and 37,224

Step by Step Solution

1. Step 1: Write the proportion equation
   33,624 : 37,224 = 37,224 : x
2. Step 2: Convert to fraction form
   33,624/37,224 = 37,224/x
3. Step 3: Cross multiply
   33,624x = 37,224 × 37,224
4. Step 4: Simplify right side
   33,624x = 1,385,626,176
5. Step 5: Solve for x
   x = 1,385,626,176/33,624
6. Step 6: Final answer
   x = 41,209.44