Finding the Third Proportional to 32,704.50 and 70,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,704.50 : 70,642.50 = 70,642.50 : x
2. Step 2: Convert to fraction form
   32,704.50/70,642.50 = 70,642.50/x
3. Step 3: Cross multiply
   32,704.50x = 70,642.50 × 70,642.50
4. Step 4: Simplify right side
   32,704.50x = 4,990,362,806.25
5. Step 5: Solve for x
   x = 4,990,362,806.25/32,704.50
6. Step 6: Final answer
   x = 152,589.48