Finding the Third Proportional to 37,438 and 57,972

Step by Step Solution

1. Step 1: Write the proportion equation
   37,438 : 57,972 = 57,972 : x
2. Step 2: Convert to fraction form
   37,438/57,972 = 57,972/x
3. Step 3: Cross multiply
   37,438x = 57,972 × 57,972
4. Step 4: Simplify right side
   37,438x = 3,360,752,784
5. Step 5: Solve for x
   x = 3,360,752,784/37,438
6. Step 6: Final answer
   x = 89,768.49