Finding the Third Proportional to 9,140.34 and 19,434.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,140.34 : 19,434.09 = 19,434.09 : x
2. Step 2: Convert to fraction form
   9,140.34/19,434.09 = 19,434.09/x
3. Step 3: Cross multiply
   9,140.34x = 19,434.09 × 19,434.09
4. Step 4: Simplify right side
   9,140.34x = 377,683,999.88
5. Step 5: Solve for x
   x = 377,683,999.88/9,140.34
6. Step 6: Final answer
   x = 41,320.55