Finding the Third Proportional to 17,798 and 23,769

Step by Step Solution

1. Step 1: Write the proportion equation
   17,798 : 23,769 = 23,769 : x
2. Step 2: Convert to fraction form
   17,798/23,769 = 23,769/x
3. Step 3: Cross multiply
   17,798x = 23,769 × 23,769
4. Step 4: Simplify right side
   17,798x = 564,965,361
5. Step 5: Solve for x
   x = 564,965,361/17,798
6. Step 6: Final answer
   x = 31,743.19