Finding the Third Proportional to 17,847 and 23,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,847 : 23,809.50 = 23,809.50 : x
2. Step 2: Convert to fraction form
   17,847/23,809.50 = 23,809.50/x
3. Step 3: Cross multiply
   17,847x = 23,809.50 × 23,809.50
4. Step 4: Simplify right side
   17,847x = 566,892,290.25
5. Step 5: Solve for x
   x = 566,892,290.25/17,847
6. Step 6: Final answer
   x = 31,764.01