Finding the Third Proportional to 9,811.13 and 17,494.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,811.13 : 17,494.31 = 17,494.31 : x
2. Step 2: Convert to fraction form
   9,811.13/17,494.31 = 17,494.31/x
3. Step 3: Cross multiply
   9,811.13x = 17,494.31 × 17,494.31
4. Step 4: Simplify right side
   9,811.13x = 306,050,969.85
5. Step 5: Solve for x
   x = 306,050,969.85/9,811.13
6. Step 6: Final answer
   x = 31,194.28