Finding the Third Proportional to 10,194 and 13,113

Step by Step Solution

1. Step 1: Write the proportion equation
   10,194 : 13,113 = 13,113 : x
2. Step 2: Convert to fraction form
   10,194/13,113 = 13,113/x
3. Step 3: Cross multiply
   10,194x = 13,113 × 13,113
4. Step 4: Simplify right side
   10,194x = 171,950,769
5. Step 5: Solve for x
   x = 171,950,769/10,194
6. Step 6: Final answer
   x = 16,867.84