Finding the Third Proportional to 7,654.50 and 16,812.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,654.50 : 16,812.56 = 16,812.56 : x
2. Step 2: Convert to fraction form
   7,654.50/16,812.56 = 16,812.56/x
3. Step 3: Cross multiply
   7,654.50x = 16,812.56 × 16,812.56
4. Step 4: Simplify right side
   7,654.50x = 282,662,257.82
5. Step 5: Solve for x
   x = 282,662,257.82/7,654.50
6. Step 6: Final answer
   x = 36,927.59