Finding the Third Proportional to 37,864 and 80,584

Step by Step Solution

1. Step 1: Write the proportion equation
   37,864 : 80,584 = 80,584 : x
2. Step 2: Convert to fraction form
   37,864/80,584 = 80,584/x
3. Step 3: Cross multiply
   37,864x = 80,584 × 80,584
4. Step 4: Simplify right side
   37,864x = 6,493,781,056
5. Step 5: Solve for x
   x = 6,493,781,056/37,864
6. Step 6: Final answer
   x = 171,502.77