Finding the Third Proportional to 9,832.50 and 16,404.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,832.50 : 16,404.75 = 16,404.75 : x
2. Step 2: Convert to fraction form
   9,832.50/16,404.75 = 16,404.75/x
3. Step 3: Cross multiply
   9,832.50x = 16,404.75 × 16,404.75
4. Step 4: Simplify right side
   9,832.50x = 269,115,822.56
5. Step 5: Solve for x
   x = 269,115,822.56/9,832.50
6. Step 6: Final answer
   x = 27,370.03