Finding the Third Proportional to 21,841 and 32,970

Step by Step Solution

1. Step 1: Write the proportion equation
   21,841 : 32,970 = 32,970 : x
2. Step 2: Convert to fraction form
   21,841/32,970 = 32,970/x
3. Step 3: Cross multiply
   21,841x = 32,970 × 32,970
4. Step 4: Simplify right side
   21,841x = 1,087,020,900
5. Step 5: Solve for x
   x = 1,087,020,900/21,841
6. Step 6: Final answer
   x = 49,769.74