Finding the Third Proportional to 37,628 and 59,523

Step by Step Solution

1. Step 1: Write the proportion equation
   37,628 : 59,523 = 59,523 : x
2. Step 2: Convert to fraction form
   37,628/59,523 = 59,523/x
3. Step 3: Cross multiply
   37,628x = 59,523 × 59,523
4. Step 4: Simplify right side
   37,628x = 3,542,987,529
5. Step 5: Solve for x
   x = 3,542,987,529/37,628
6. Step 6: Final answer
   x = 94,158.27