Finding the Third Proportional to 39,685.50 and 82,653.75

Step by Step Solution

1. Step 1: Write the proportion equation
   39,685.50 : 82,653.75 = 82,653.75 : x
2. Step 2: Convert to fraction form
   39,685.50/82,653.75 = 82,653.75/x
3. Step 3: Cross multiply
   39,685.50x = 82,653.75 × 82,653.75
4. Step 4: Simplify right side
   39,685.50x = 6,831,642,389.06
5. Step 5: Solve for x
   x = 6,831,642,389.06/39,685.50
6. Step 6: Final answer
   x = 172,144.55