Finding the Third Proportional to 32,584 and 48,012

Step by Step Solution

1. Step 1: Write the proportion equation
   32,584 : 48,012 = 48,012 : x
2. Step 2: Convert to fraction form
   32,584/48,012 = 48,012/x
3. Step 3: Cross multiply
   32,584x = 48,012 × 48,012
4. Step 4: Simplify right side
   32,584x = 2,305,152,144
5. Step 5: Solve for x
   x = 2,305,152,144/32,584
6. Step 6: Final answer
   x = 70,744.91