Finding the Third Proportional to 22,646 and 32,618.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,646 : 32,618.50 = 32,618.50 : x
2. Step 2: Convert to fraction form
   22,646/32,618.50 = 32,618.50/x
3. Step 3: Cross multiply
   22,646x = 32,618.50 × 32,618.50
4. Step 4: Simplify right side
   22,646x = 1,063,966,542.25
5. Step 5: Solve for x
   x = 1,063,966,542.25/22,646
6. Step 6: Final answer
   x = 46,982.54