Finding the Third Proportional to 19,264 and 30,566

Step by Step Solution

1. Step 1: Write the proportion equation
   19,264 : 30,566 = 30,566 : x
2. Step 2: Convert to fraction form
   19,264/30,566 = 30,566/x
3. Step 3: Cross multiply
   19,264x = 30,566 × 30,566
4. Step 4: Simplify right side
   19,264x = 934,280,356
5. Step 5: Solve for x
   x = 934,280,356/19,264
6. Step 6: Final answer
   x = 48,498.77