Finding the Third Proportional to 37,224 and 51,732

Step by Step Solution

1. Step 1: Write the proportion equation
   37,224 : 51,732 = 51,732 : x
2. Step 2: Convert to fraction form
   37,224/51,732 = 51,732/x
3. Step 3: Cross multiply
   37,224x = 51,732 × 51,732
4. Step 4: Simplify right side
   37,224x = 2,676,199,824
5. Step 5: Solve for x
   x = 2,676,199,824/37,224
6. Step 6: Final answer
   x = 71,894.47