Finding the Third Proportional to 37,596 and 52,562

Step by Step Solution

1. Step 1: Write the proportion equation
   37,596 : 52,562 = 52,562 : x
2. Step 2: Convert to fraction form
   37,596/52,562 = 52,562/x
3. Step 3: Cross multiply
   37,596x = 52,562 × 52,562
4. Step 4: Simplify right side
   37,596x = 2,762,763,844
5. Step 5: Solve for x
   x = 2,762,763,844/37,596
6. Step 6: Final answer
   x = 73,485.58