Finding the Third Proportional to 32,946.75 and 71,856.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,946.75 : 71,856.75 = 71,856.75 : x
2. Step 2: Convert to fraction form
   32,946.75/71,856.75 = 71,856.75/x
3. Step 3: Cross multiply
   32,946.75x = 71,856.75 × 71,856.75
4. Step 4: Simplify right side
   32,946.75x = 5,163,392,520.56
5. Step 5: Solve for x
   x = 5,163,392,520.56/32,946.75
6. Step 6: Final answer
   x = 156,719.33