Finding the Third Proportional to 27,685 and 41,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,685 : 41,815.50 = 41,815.50 : x
2. Step 2: Convert to fraction form
   27,685/41,815.50 = 41,815.50/x
3. Step 3: Cross multiply
   27,685x = 41,815.50 × 41,815.50
4. Step 4: Simplify right side
   27,685x = 1,748,536,040.25
5. Step 5: Solve for x
   x = 1,748,536,040.25/27,685
6. Step 6: Final answer
   x = 63,158.25