Finding the Third Proportional to 37,584 and 87,398

Step by Step Solution

1. Step 1: Write the proportion equation
   37,584 : 87,398 = 87,398 : x
2. Step 2: Convert to fraction form
   37,584/87,398 = 87,398/x
3. Step 3: Cross multiply
   37,584x = 87,398 × 87,398
4. Step 4: Simplify right side
   37,584x = 7,638,410,404
5. Step 5: Solve for x
   x = 7,638,410,404/37,584
6. Step 6: Final answer
   x = 203,235.70