Finding the Third Proportional to 17,409 and 37,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,409 : 37,588.50 = 37,588.50 : x
2. Step 2: Convert to fraction form
   17,409/37,588.50 = 37,588.50/x
3. Step 3: Cross multiply
   17,409x = 37,588.50 × 37,588.50
4. Step 4: Simplify right side
   17,409x = 1,412,895,332.25
5. Step 5: Solve for x
   x = 1,412,895,332.25/17,409
6. Step 6: Final answer
   x = 81,158.90