Finding the Third Proportional to 37,139 and 87,584

Step by Step Solution

1. Step 1: Write the proportion equation
   37,139 : 87,584 = 87,584 : x
2. Step 2: Convert to fraction form
   37,139/87,584 = 87,584/x
3. Step 3: Cross multiply
   37,139x = 87,584 × 87,584
4. Step 4: Simplify right side
   37,139x = 7,670,957,056
5. Step 5: Solve for x
   x = 7,670,957,056/37,139
6. Step 6: Final answer
   x = 206,547.22