Finding the Third Proportional to 37,634 and 52,610

Step by Step Solution

1. Step 1: Write the proportion equation
   37,634 : 52,610 = 52,610 : x
2. Step 2: Convert to fraction form
   37,634/52,610 = 52,610/x
3. Step 3: Cross multiply
   37,634x = 52,610 × 52,610
4. Step 4: Simplify right side
   37,634x = 2,767,812,100
5. Step 5: Solve for x
   x = 2,767,812,100/37,634
6. Step 6: Final answer
   x = 73,545.52