Finding the Third Proportional to 21,231 and 46,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,231 : 46,147.50 = 46,147.50 : x
2. Step 2: Convert to fraction form
   21,231/46,147.50 = 46,147.50/x
3. Step 3: Cross multiply
   21,231x = 46,147.50 × 46,147.50
4. Step 4: Simplify right side
   21,231x = 2,129,591,756.25
5. Step 5: Solve for x
   x = 2,129,591,756.25/21,231
6. Step 6: Final answer
   x = 100,305.77