Finding the Third Proportional to 4,798 and 10,438

Step by Step Solution

1. Step 1: Write the proportion equation
   4,798 : 10,438 = 10,438 : x
2. Step 2: Convert to fraction form
   4,798/10,438 = 10,438/x
3. Step 3: Cross multiply
   4,798x = 10,438 × 10,438
4. Step 4: Simplify right side
   4,798x = 108,951,844
5. Step 5: Solve for x
   x = 108,951,844/4,798
6. Step 6: Final answer
   x = 22,707.76