Finding the Third Proportional to 32,509.50 and 70,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,509.50 : 70,972.50 = 70,972.50 : x
2. Step 2: Convert to fraction form
   32,509.50/70,972.50 = 70,972.50/x
3. Step 3: Cross multiply
   32,509.50x = 70,972.50 × 70,972.50
4. Step 4: Simplify right side
   32,509.50x = 5,037,095,756.25
5. Step 5: Solve for x
   x = 5,037,095,756.25/32,509.50
6. Step 6: Final answer
   x = 154,942.27