Finding the Third Proportional to 32,782.50 and 70,749

Step by Step Solution

1. Step 1: Write the proportion equation
   32,782.50 : 70,749 = 70,749 : x
2. Step 2: Convert to fraction form
   32,782.50/70,749 = 70,749/x
3. Step 3: Cross multiply
   32,782.50x = 70,749 × 70,749
4. Step 4: Simplify right side
   32,782.50x = 5,005,421,001
5. Step 5: Solve for x
   x = 5,005,421,001/32,782.50
6. Step 6: Final answer
   x = 152,685.76