Finding the Third Proportional to 8,784 and 19,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,784 : 19,411.50 = 19,411.50 : x
2. Step 2: Convert to fraction form
   8,784/19,411.50 = 19,411.50/x
3. Step 3: Cross multiply
   8,784x = 19,411.50 × 19,411.50
4. Step 4: Simplify right side
   8,784x = 376,806,332.25
5. Step 5: Solve for x
   x = 376,806,332.25/8,784
6. Step 6: Final answer
   x = 42,896.90