Finding the Third Proportional to 21,845 and 32,948.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,845 : 32,948.50 = 32,948.50 : x
2. Step 2: Convert to fraction form
   21,845/32,948.50 = 32,948.50/x
3. Step 3: Cross multiply
   21,845x = 32,948.50 × 32,948.50
4. Step 4: Simplify right side
   21,845x = 1,085,603,652.25
5. Step 5: Solve for x
   x = 1,085,603,652.25/21,845
6. Step 6: Final answer
   x = 49,695.75