Finding the Third Proportional to 31,683 and 46,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,683 : 46,372.50 = 46,372.50 : x
2. Step 2: Convert to fraction form
   31,683/46,372.50 = 46,372.50/x
3. Step 3: Cross multiply
   31,683x = 46,372.50 × 46,372.50
4. Step 4: Simplify right side
   31,683x = 2,150,408,756.25
5. Step 5: Solve for x
   x = 2,150,408,756.25/31,683
6. Step 6: Final answer
   x = 67,872.64