Finding the Third Proportional to 17,604 and 37,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,604 : 37,894.50 = 37,894.50 : x
2. Step 2: Convert to fraction form
   17,604/37,894.50 = 37,894.50/x
3. Step 3: Cross multiply
   17,604x = 37,894.50 × 37,894.50
4. Step 4: Simplify right side
   17,604x = 1,435,993,130.25
5. Step 5: Solve for x
   x = 1,435,993,130.25/17,604
6. Step 6: Final answer
   x = 81,571.98