Finding the Third Proportional to 4,969.69 and 7,695.84

Step by Step Solution

1. Step 1: Write the proportion equation
   4,969.69 : 7,695.84 = 7,695.84 : x
2. Step 2: Convert to fraction form
   4,969.69/7,695.84 = 7,695.84/x
3. Step 3: Cross multiply
   4,969.69x = 7,695.84 × 7,695.84
4. Step 4: Simplify right side
   4,969.69x = 59,226,011.02
5. Step 5: Solve for x
   x = 59,226,011.02/4,969.69
6. Step 6: Final answer
   x = 11,917.45