Finding the Third Proportional to 17,772 and 37,224

Step by Step Solution

1. Step 1: Write the proportion equation
   17,772 : 37,224 = 37,224 : x
2. Step 2: Convert to fraction form
   17,772/37,224 = 37,224/x
3. Step 3: Cross multiply
   17,772x = 37,224 × 37,224
4. Step 4: Simplify right side
   17,772x = 1,385,626,176
5. Step 5: Solve for x
   x = 1,385,626,176/17,772
6. Step 6: Final answer
   x = 77,966.81