Finding the Third Proportional to 6,526.13 and 10,179.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,526.13 : 10,179.56 = 10,179.56 : x
2. Step 2: Convert to fraction form
   6,526.13/10,179.56 = 10,179.56/x
3. Step 3: Cross multiply
   6,526.13x = 10,179.56 × 10,179.56
4. Step 4: Simplify right side
   6,526.13x = 103,623,492.69
5. Step 5: Solve for x
   x = 103,623,492.69/6,526.13
6. Step 6: Final answer
   x = 15,878.26