Finding the Third Proportional to 39,826.50 and 86,105.63

Step by Step Solution

1. Step 1: Write the proportion equation
   39,826.50 : 86,105.63 = 86,105.63 : x
2. Step 2: Convert to fraction form
   39,826.50/86,105.63 = 86,105.63/x
3. Step 3: Cross multiply
   39,826.50x = 86,105.63 × 86,105.63
4. Step 4: Simplify right side
   39,826.50x = 7,414,178,656.64
5. Step 5: Solve for x
   x = 7,414,178,656.64/39,826.50
6. Step 6: Final answer
   x = 186,161.94