Finding the Third Proportional to 19,433 and 42,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,433 : 42,564.50 = 42,564.50 : x
2. Step 2: Convert to fraction form
   19,433/42,564.50 = 42,564.50/x
3. Step 3: Cross multiply
   19,433x = 42,564.50 × 42,564.50
4. Step 4: Simplify right side
   19,433x = 1,811,736,660.25
5. Step 5: Solve for x
   x = 1,811,736,660.25/19,433
6. Step 6: Final answer
   x = 93,229.90