Finding the Third Proportional to 38,284 and 42,010

Step by Step Solution

1. Step 1: Write the proportion equation
   38,284 : 42,010 = 42,010 : x
2. Step 2: Convert to fraction form
   38,284/42,010 = 42,010/x
3. Step 3: Cross multiply
   38,284x = 42,010 × 42,010
4. Step 4: Simplify right side
   38,284x = 1,764,840,100
5. Step 5: Solve for x
   x = 1,764,840,100/38,284
6. Step 6: Final answer
   x = 46,098.63