Finding the Third Proportional to 37,587 and 82,614

Step by Step Solution

1. Step 1: Write the proportion equation
   37,587 : 82,614 = 82,614 : x
2. Step 2: Convert to fraction form
   37,587/82,614 = 82,614/x
3. Step 3: Cross multiply
   37,587x = 82,614 × 82,614
4. Step 4: Simplify right side
   37,587x = 6,825,072,996
5. Step 5: Solve for x
   x = 6,825,072,996/37,587
6. Step 6: Final answer
   x = 181,580.68