Finding the Third Proportional to 7,852.50 and 16,842.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,852.50 : 16,842.38 = 16,842.38 : x
2. Step 2: Convert to fraction form
   7,852.50/16,842.38 = 16,842.38/x
3. Step 3: Cross multiply
   7,852.50x = 16,842.38 × 16,842.38
4. Step 4: Simplify right side
   7,852.50x = 283,665,595.64
5. Step 5: Solve for x
   x = 283,665,595.64/7,852.50
6. Step 6: Final answer
   x = 36,124.24