Finding the Third Proportional to 31,756.50 and 46,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,756.50 : 46,684.50 = 46,684.50 : x
2. Step 2: Convert to fraction form
   31,756.50/46,684.50 = 46,684.50/x
3. Step 3: Cross multiply
   31,756.50x = 46,684.50 × 46,684.50
4. Step 4: Simplify right side
   31,756.50x = 2,179,442,540.25
5. Step 5: Solve for x
   x = 2,179,442,540.25/31,756.50
6. Step 6: Final answer
   x = 68,629.81