Finding the Third Proportional to 7,735.50 and 13,815.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,735.50 : 13,815.56 = 13,815.56 : x
2. Step 2: Convert to fraction form
   7,735.50/13,815.56 = 13,815.56/x
3. Step 3: Cross multiply
   7,735.50x = 13,815.56 × 13,815.56
4. Step 4: Simplify right side
   7,735.50x = 190,869,767.19
5. Step 5: Solve for x
   x = 190,869,767.19/7,735.50
6. Step 6: Final answer
   x = 24,674.52