Finding the Third Proportional to 22,557 and 31,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,557 : 31,783.50 = 31,783.50 : x
2. Step 2: Convert to fraction form
   22,557/31,783.50 = 31,783.50/x
3. Step 3: Cross multiply
   22,557x = 31,783.50 × 31,783.50
4. Step 4: Simplify right side
   22,557x = 1,010,190,872.25
5. Step 5: Solve for x
   x = 1,010,190,872.25/22,557
6. Step 6: Final answer
   x = 44,783.92