Finding the Third Proportional to 30,685.50 and 41,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,685.50 : 41,653.50 = 41,653.50 : x
2. Step 2: Convert to fraction form
   30,685.50/41,653.50 = 41,653.50/x
3. Step 3: Cross multiply
   30,685.50x = 41,653.50 × 41,653.50
4. Step 4: Simplify right side
   30,685.50x = 1,735,014,062.25
5. Step 5: Solve for x
   x = 1,735,014,062.25/30,685.50
6. Step 6: Final answer
   x = 56,541.82