Finding the Third Proportional to 39,513 and 85,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,513 : 85,586.50 = 85,586.50 : x
2. Step 2: Convert to fraction form
   39,513/85,586.50 = 85,586.50/x
3. Step 3: Cross multiply
   39,513x = 85,586.50 × 85,586.50
4. Step 4: Simplify right side
   39,513x = 7,325,048,982.25
5. Step 5: Solve for x
   x = 7,325,048,982.25/39,513
6. Step 6: Final answer
   x = 185,383.27