Finding the Third Proportional to 7,806 and 10,409

Step by Step Solution

1. Step 1: Write the proportion equation
   7,806 : 10,409 = 10,409 : x
2. Step 2: Convert to fraction form
   7,806/10,409 = 10,409/x
3. Step 3: Cross multiply
   7,806x = 10,409 × 10,409
4. Step 4: Simplify right side
   7,806x = 108,347,281
5. Step 5: Solve for x
   x = 108,347,281/7,806
6. Step 6: Final answer
   x = 13,880.00