Finding the Third Proportional to 7,666.50 and 16,407.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,666.50 : 16,407.25 = 16,407.25 : x
2. Step 2: Convert to fraction form
   7,666.50/16,407.25 = 16,407.25/x
3. Step 3: Cross multiply
   7,666.50x = 16,407.25 × 16,407.25
4. Step 4: Simplify right side
   7,666.50x = 269,197,852.56
5. Step 5: Solve for x
   x = 269,197,852.56/7,666.50
6. Step 6: Final answer
   x = 35,113.53