Finding the Third Proportional to 37,566 and 76,520.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,566 : 76,520.25 = 76,520.25 : x
2. Step 2: Convert to fraction form
   37,566/76,520.25 = 76,520.25/x
3. Step 3: Cross multiply
   37,566x = 76,520.25 × 76,520.25
4. Step 4: Simplify right side
   37,566x = 5,855,348,660.06
5. Step 5: Solve for x
   x = 5,855,348,660.06/37,566
6. Step 6: Final answer
   x = 155,868.30