Finding the Third Proportional to 10,698 and 23,178

Step by Step Solution

1. Step 1: Write the proportion equation
   10,698 : 23,178 = 23,178 : x
2. Step 2: Convert to fraction form
   10,698/23,178 = 23,178/x
3. Step 3: Cross multiply
   10,698x = 23,178 × 23,178
4. Step 4: Simplify right side
   10,698x = 537,219,684
5. Step 5: Solve for x
   x = 537,219,684/10,698
6. Step 6: Final answer
   x = 50,216.83