Finding the Third Proportional to 7,842.50 and 16,333

Step by Step Solution

1. Step 1: Write the proportion equation
   7,842.50 : 16,333 = 16,333 : x
2. Step 2: Convert to fraction form
   7,842.50/16,333 = 16,333/x
3. Step 3: Cross multiply
   7,842.50x = 16,333 × 16,333
4. Step 4: Simplify right side
   7,842.50x = 266,766,889
5. Step 5: Solve for x
   x = 266,766,889/7,842.50
6. Step 6: Final answer
   x = 34,015.54