Finding the Third Proportional to 21,627 and 32,305.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,627 : 32,305.50 = 32,305.50 : x
2. Step 2: Convert to fraction form
   21,627/32,305.50 = 32,305.50/x
3. Step 3: Cross multiply
   21,627x = 32,305.50 × 32,305.50
4. Step 4: Simplify right side
   21,627x = 1,043,645,330.25
5. Step 5: Solve for x
   x = 1,043,645,330.25/21,627
6. Step 6: Final answer
   x = 48,256.59