Finding the Third Proportional to 6,374 and 10,153

Step by Step Solution

1. Step 1: Write the proportion equation
   6,374 : 10,153 = 10,153 : x
2. Step 2: Convert to fraction form
   6,374/10,153 = 10,153/x
3. Step 3: Cross multiply
   6,374x = 10,153 × 10,153
4. Step 4: Simplify right side
   6,374x = 103,083,409
5. Step 5: Solve for x
   x = 103,083,409/6,374
6. Step 6: Final answer
   x = 16,172.48