Finding the Third Proportional to 21,646 and 32,470

Step by Step Solution

1. Step 1: Write the proportion equation
   21,646 : 32,470 = 32,470 : x
2. Step 2: Convert to fraction form
   21,646/32,470 = 32,470/x
3. Step 3: Cross multiply
   21,646x = 32,470 × 32,470
4. Step 4: Simplify right side
   21,646x = 1,054,300,900
5. Step 5: Solve for x
   x = 1,054,300,900/21,646
6. Step 6: Final answer
   x = 48,706.50