Finding the Third Proportional to 37,561 and 52,510

Step by Step Solution

1. Step 1: Write the proportion equation
   37,561 : 52,510 = 52,510 : x
2. Step 2: Convert to fraction form
   37,561/52,510 = 52,510/x
3. Step 3: Cross multiply
   37,561x = 52,510 × 52,510
4. Step 4: Simplify right side
   37,561x = 2,757,300,100
5. Step 5: Solve for x
   x = 2,757,300,100/37,561
6. Step 6: Final answer
   x = 73,408.59