Finding the Third Proportional to 21,630 and 46,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,630 : 46,540.50 = 46,540.50 : x
2. Step 2: Convert to fraction form
   21,630/46,540.50 = 46,540.50/x
3. Step 3: Cross multiply
   21,630x = 46,540.50 × 46,540.50
4. Step 4: Simplify right side
   21,630x = 2,166,018,140.25
5. Step 5: Solve for x
   x = 2,166,018,140.25/21,630
6. Step 6: Final answer
   x = 100,139.53