Finding the Third Proportional to 7,796.53 and 16,686.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,796.53 : 16,686.56 = 16,686.56 : x
2. Step 2: Convert to fraction form
   7,796.53/16,686.56 = 16,686.56/x
3. Step 3: Cross multiply
   7,796.53x = 16,686.56 × 16,686.56
4. Step 4: Simplify right side
   7,796.53x = 278,441,368.07
5. Step 5: Solve for x
   x = 278,441,368.07/7,796.53
6. Step 6: Final answer
   x = 35,713.49