Finding the Third Proportional to 32,947 and 49,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,947 : 49,705.50 = 49,705.50 : x
2. Step 2: Convert to fraction form
   32,947/49,705.50 = 49,705.50/x
3. Step 3: Cross multiply
   32,947x = 49,705.50 × 49,705.50
4. Step 4: Simplify right side
   32,947x = 2,470,636,730.25
5. Step 5: Solve for x
   x = 2,470,636,730.25/32,947
6. Step 6: Final answer
   x = 74,988.22