Finding the Third Proportional to 21,140 and 32,778

Step by Step Solution

1. Step 1: Write the proportion equation
   21,140 : 32,778 = 32,778 : x
2. Step 2: Convert to fraction form
   21,140/32,778 = 32,778/x
3. Step 3: Cross multiply
   21,140x = 32,778 × 32,778
4. Step 4: Simplify right side
   21,140x = 1,074,397,284
5. Step 5: Solve for x
   x = 1,074,397,284/21,140
6. Step 6: Final answer
   x = 50,822.96