Finding the Third Proportional to 9,145.41 and 19,472.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,145.41 : 19,472.91 = 19,472.91 : x
2. Step 2: Convert to fraction form
   9,145.41/19,472.91 = 19,472.91/x
3. Step 3: Cross multiply
   9,145.41x = 19,472.91 × 19,472.91
4. Step 4: Simplify right side
   9,145.41x = 379,194,077.82
5. Step 5: Solve for x
   x = 379,194,077.82/9,145.41
6. Step 6: Final answer
   x = 41,462.79