Finding the Third Proportional to 7,734 and 16,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,734 : 16,012.50 = 16,012.50 : x
2. Step 2: Convert to fraction form
   7,734/16,012.50 = 16,012.50/x
3. Step 3: Cross multiply
   7,734x = 16,012.50 × 16,012.50
4. Step 4: Simplify right side
   7,734x = 256,400,156.25
5. Step 5: Solve for x
   x = 256,400,156.25/7,734
6. Step 6: Final answer
   x = 33,152.33