Finding the Third Proportional to 21,843 and 32,946.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,843 : 32,946.75 = 32,946.75 : x
2. Step 2: Convert to fraction form
   21,843/32,946.75 = 32,946.75/x
3. Step 3: Cross multiply
   21,843x = 32,946.75 × 32,946.75
4. Step 4: Simplify right side
   21,843x = 1,085,488,335.56
5. Step 5: Solve for x
   x = 1,085,488,335.56/21,843
6. Step 6: Final answer
   x = 49,695.02