Finding the Third Proportional to 7,624.13 and 16,588.55

Step by Step Solution

1. Step 1: Write the proportion equation
   7,624.13 : 16,588.55 = 16,588.55 : x
2. Step 2: Convert to fraction form
   7,624.13/16,588.55 = 16,588.55/x
3. Step 3: Cross multiply
   7,624.13x = 16,588.55 × 16,588.55
4. Step 4: Simplify right side
   7,624.13x = 275,179,887.42
5. Step 5: Solve for x
   x = 275,179,887.42/7,624.13
6. Step 6: Final answer
   x = 36,093.31