Finding the Third Proportional to 17,802 and 25,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,802 : 25,783.50 = 25,783.50 : x
2. Step 2: Convert to fraction form
   17,802/25,783.50 = 25,783.50/x
3. Step 3: Cross multiply
   17,802x = 25,783.50 × 25,783.50
4. Step 4: Simplify right side
   17,802x = 664,788,872.25
5. Step 5: Solve for x
   x = 664,788,872.25/17,802
6. Step 6: Final answer
   x = 37,343.49