Finding the Third Proportional to 10,798 and 23,764

Step by Step Solution

1. Step 1: Write the proportion equation
   10,798 : 23,764 = 23,764 : x
2. Step 2: Convert to fraction form
   10,798/23,764 = 23,764/x
3. Step 3: Cross multiply
   10,798x = 23,764 × 23,764
4. Step 4: Simplify right side
   10,798x = 564,727,696
5. Step 5: Solve for x
   x = 564,727,696/10,798
6. Step 6: Final answer
   x = 52,299.29