Finding the Third Proportional to 37,559 and 52,507

Step by Step Solution

1. Step 1: Write the proportion equation
   37,559 : 52,507 = 52,507 : x
2. Step 2: Convert to fraction form
   37,559/52,507 = 52,507/x
3. Step 3: Cross multiply
   37,559x = 52,507 × 52,507
4. Step 4: Simplify right side
   37,559x = 2,756,985,049
5. Step 5: Solve for x
   x = 2,756,985,049/37,559
6. Step 6: Final answer
   x = 73,404.11