Finding the Third Proportional to 37,629 and 52,605

Step by Step Solution

1. Step 1: Write the proportion equation
   37,629 : 52,605 = 52,605 : x
2. Step 2: Convert to fraction form
   37,629/52,605 = 52,605/x
3. Step 3: Cross multiply
   37,629x = 52,605 × 52,605
4. Step 4: Simplify right side
   37,629x = 2,767,286,025
5. Step 5: Solve for x
   x = 2,767,286,025/37,629
6. Step 6: Final answer
   x = 73,541.31