Finding the Third Proportional to 10,467 and 22,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,467 : 22,783.50 = 22,783.50 : x
2. Step 2: Convert to fraction form
   10,467/22,783.50 = 22,783.50/x
3. Step 3: Cross multiply
   10,467x = 22,783.50 × 22,783.50
4. Step 4: Simplify right side
   10,467x = 519,087,872.25
5. Step 5: Solve for x
   x = 519,087,872.25/10,467
6. Step 6: Final answer
   x = 49,592.80