Finding the Third Proportional to 19,413 and 45,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,413 : 45,858.50 = 45,858.50 : x
2. Step 2: Convert to fraction form
   19,413/45,858.50 = 45,858.50/x
3. Step 3: Cross multiply
   19,413x = 45,858.50 × 45,858.50
4. Step 4: Simplify right side
   19,413x = 2,103,002,022.25
5. Step 5: Solve for x
   x = 2,103,002,022.25/19,413
6. Step 6: Final answer
   x = 108,329.57