Finding the Third Proportional to 37,730 and 102,605

Step by Step Solution

1. Step 1: Write the proportion equation
   37,730 : 102,605 = 102,605 : x
2. Step 2: Convert to fraction form
   37,730/102,605 = 102,605/x
3. Step 3: Cross multiply
   37,730x = 102,605 × 102,605
4. Step 4: Simplify right side
   37,730x = 10,527,786,025
5. Step 5: Solve for x
   x = 10,527,786,025/37,730
6. Step 6: Final answer
   x = 279,029.58