Finding the Third Proportional to 37,224 and 81,004

Step by Step Solution

1. Step 1: Write the proportion equation
   37,224 : 81,004 = 81,004 : x
2. Step 2: Convert to fraction form
   37,224/81,004 = 81,004/x
3. Step 3: Cross multiply
   37,224x = 81,004 × 81,004
4. Step 4: Simplify right side
   37,224x = 6,561,648,016
5. Step 5: Solve for x
   x = 6,561,648,016/37,224
6. Step 6: Final answer
   x = 176,274.66