Finding the Third Proportional to 16,798 and 25,178

Step by Step Solution

1. Step 1: Write the proportion equation
   16,798 : 25,178 = 25,178 : x
2. Step 2: Convert to fraction form
   16,798/25,178 = 25,178/x
3. Step 3: Cross multiply
   16,798x = 25,178 × 25,178
4. Step 4: Simplify right side
   16,798x = 633,931,684
5. Step 5: Solve for x
   x = 633,931,684/16,798
6. Step 6: Final answer
   x = 37,738.52