Finding the Third Proportional to 32,821.25 and 70,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,821.25 : 70,312.50 = 70,312.50 : x
2. Step 2: Convert to fraction form
   32,821.25/70,312.50 = 70,312.50/x
3. Step 3: Cross multiply
   32,821.25x = 70,312.50 × 70,312.50
4. Step 4: Simplify right side
   32,821.25x = 4,943,847,656.25
5. Step 5: Solve for x
   x = 4,943,847,656.25/32,821.25
6. Step 6: Final answer
   x = 150,629.47