Finding the Third Proportional to 42,685 and 46,512.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,685 : 46,512.50 = 46,512.50 : x
2. Step 2: Convert to fraction form
   42,685/46,512.50 = 46,512.50/x
3. Step 3: Cross multiply
   42,685x = 46,512.50 × 46,512.50
4. Step 4: Simplify right side
   42,685x = 2,163,412,656.25
5. Step 5: Solve for x
   x = 2,163,412,656.25/42,685
6. Step 6: Final answer
   x = 50,683.21