Finding the Third Proportional to 7,842 and 16,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,842 : 16,069.50 = 16,069.50 : x
2. Step 2: Convert to fraction form
   7,842/16,069.50 = 16,069.50/x
3. Step 3: Cross multiply
   7,842x = 16,069.50 × 16,069.50
4. Step 4: Simplify right side
   7,842x = 258,228,830.25
5. Step 5: Solve for x
   x = 258,228,830.25/7,842
6. Step 6: Final answer
   x = 32,928.95