Finding the Third Proportional to 39,730.50 and 85,718.25

Step by Step Solution

1. Step 1: Write the proportion equation
   39,730.50 : 85,718.25 = 85,718.25 : x
2. Step 2: Convert to fraction form
   39,730.50/85,718.25 = 85,718.25/x
3. Step 3: Cross multiply
   39,730.50x = 85,718.25 × 85,718.25
4. Step 4: Simplify right side
   39,730.50x = 7,347,618,383.06
5. Step 5: Solve for x
   x = 7,347,618,383.06/39,730.50
6. Step 6: Final answer
   x = 184,936.47