Finding the Third Proportional to 21,690 and 31,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,690 : 31,747.50 = 31,747.50 : x
2. Step 2: Convert to fraction form
   21,690/31,747.50 = 31,747.50/x
3. Step 3: Cross multiply
   21,690x = 31,747.50 × 31,747.50
4. Step 4: Simplify right side
   21,690x = 1,007,903,756.25
5. Step 5: Solve for x
   x = 1,007,903,756.25/21,690
6. Step 6: Final answer
   x = 46,468.59