Finding the Third Proportional to 19,413 and 30,631.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,413 : 30,631.50 = 30,631.50 : x
2. Step 2: Convert to fraction form
   19,413/30,631.50 = 30,631.50/x
3. Step 3: Cross multiply
   19,413x = 30,631.50 × 30,631.50
4. Step 4: Simplify right side
   19,413x = 938,288,792.25
5. Step 5: Solve for x
   x = 938,288,792.25/19,413
6. Step 6: Final answer
   x = 48,333.01