Finding the Third Proportional to 23,148 and 32,778

Step by Step Solution

1. Step 1: Write the proportion equation
   23,148 : 32,778 = 32,778 : x
2. Step 2: Convert to fraction form
   23,148/32,778 = 32,778/x
3. Step 3: Cross multiply
   23,148x = 32,778 × 32,778
4. Step 4: Simplify right side
   23,148x = 1,074,397,284
5. Step 5: Solve for x
   x = 1,074,397,284/23,148
6. Step 6: Final answer
   x = 46,414.26