Finding the Third Proportional to 39,496.50 and 85,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,496.50 : 85,696.50 = 85,696.50 : x
2. Step 2: Convert to fraction form
   39,496.50/85,696.50 = 85,696.50/x
3. Step 3: Cross multiply
   39,496.50x = 85,696.50 × 85,696.50
4. Step 4: Simplify right side
   39,496.50x = 7,343,890,112.25
5. Step 5: Solve for x
   x = 7,343,890,112.25/39,496.50
6. Step 6: Final answer
   x = 185,937.74