Finding the Third Proportional to 37,394 and 57,226

Step by Step Solution

1. Step 1: Write the proportion equation
   37,394 : 57,226 = 57,226 : x
2. Step 2: Convert to fraction form
   37,394/57,226 = 57,226/x
3. Step 3: Cross multiply
   37,394x = 57,226 × 57,226
4. Step 4: Simplify right side
   37,394x = 3,274,815,076
5. Step 5: Solve for x
   x = 3,274,815,076/37,394
6. Step 6: Final answer
   x = 87,575.95