Finding the Third Proportional to 37,574 and 58,605

Step by Step Solution

1. Step 1: Write the proportion equation
   37,574 : 58,605 = 58,605 : x
2. Step 2: Convert to fraction form
   37,574/58,605 = 58,605/x
3. Step 3: Cross multiply
   37,574x = 58,605 × 58,605
4. Step 4: Simplify right side
   37,574x = 3,434,546,025
5. Step 5: Solve for x
   x = 3,434,546,025/37,574
6. Step 6: Final answer
   x = 91,407.52