Finding the Third Proportional to 17,685 and 27,454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,685 : 27,454.50 = 27,454.50 : x
2. Step 2: Convert to fraction form
   17,685/27,454.50 = 27,454.50/x
3. Step 3: Cross multiply
   17,685x = 27,454.50 × 27,454.50
4. Step 4: Simplify right side
   17,685x = 753,749,570.25
5. Step 5: Solve for x
   x = 753,749,570.25/17,685
6. Step 6: Final answer
   x = 42,620.84