Finding the Third Proportional to 9,131.25 and 19,649.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,131.25 : 19,649.25 = 19,649.25 : x
2. Step 2: Convert to fraction form
   9,131.25/19,649.25 = 19,649.25/x
3. Step 3: Cross multiply
   9,131.25x = 19,649.25 × 19,649.25
4. Step 4: Simplify right side
   9,131.25x = 386,093,025.56
5. Step 5: Solve for x
   x = 386,093,025.56/9,131.25
6. Step 6: Final answer
   x = 42,282.60