Finding the Third Proportional to 10,302.82 and 17,914.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302.82 : 17,914.61 = 17,914.61 : x
2. Step 2: Convert to fraction form
   10,302.82/17,914.61 = 17,914.61/x
3. Step 3: Cross multiply
   10,302.82x = 17,914.61 × 17,914.61
4. Step 4: Simplify right side
   10,302.82x = 320,933,089.10
5. Step 5: Solve for x
   x = 320,933,089.10/10,302.82
6. Step 6: Final answer
   x = 31,150.02