Finding the Third Proportional to 10,588.50 and 19,413

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.50 : 19,413 = 19,413 : x
2. Step 2: Convert to fraction form
   10,588.50/19,413 = 19,413/x
3. Step 3: Cross multiply
   10,588.50x = 19,413 × 19,413
4. Step 4: Simplify right side
   10,588.50x = 376,864,569
5. Step 5: Solve for x
   x = 376,864,569/10,588.50
6. Step 6: Final answer
   x = 35,591.88