Finding the Third Proportional to 6,830 and 10,113

Step by Step Solution

1. Step 1: Write the proportion equation
   6,830 : 10,113 = 10,113 : x
2. Step 2: Convert to fraction form
   6,830/10,113 = 10,113/x
3. Step 3: Cross multiply
   6,830x = 10,113 × 10,113
4. Step 4: Simplify right side
   6,830x = 102,272,769
5. Step 5: Solve for x
   x = 102,272,769/6,830
6. Step 6: Final answer
   x = 14,974.05