Finding the Third Proportional to 39,746.25 and 86,431.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,746.25 : 86,431.50 = 86,431.50 : x
2. Step 2: Convert to fraction form
   39,746.25/86,431.50 = 86,431.50/x
3. Step 3: Cross multiply
   39,746.25x = 86,431.50 × 86,431.50
4. Step 4: Simplify right side
   39,746.25x = 7,470,404,192.25
5. Step 5: Solve for x
   x = 7,470,404,192.25/39,746.25
6. Step 6: Final answer
   x = 187,952.43