Finding the Third Proportional to 19,284 and 42,261

Step by Step Solution

1. Step 1: Write the proportion equation
   19,284 : 42,261 = 42,261 : x
2. Step 2: Convert to fraction form
   19,284/42,261 = 42,261/x
3. Step 3: Cross multiply
   19,284x = 42,261 × 42,261
4. Step 4: Simplify right side
   19,284x = 1,785,992,121
5. Step 5: Solve for x
   x = 1,785,992,121/19,284
6. Step 6: Final answer
   x = 92,615.23