Finding the Third Proportional to 19,793 and 41,506

Step by Step Solution

1. Step 1: Write the proportion equation
   19,793 : 41,506 = 41,506 : x
2. Step 2: Convert to fraction form
   19,793/41,506 = 41,506/x
3. Step 3: Cross multiply
   19,793x = 41,506 × 41,506
4. Step 4: Simplify right side
   19,793x = 1,722,748,036
5. Step 5: Solve for x
   x = 1,722,748,036/19,793
6. Step 6: Final answer
   x = 87,038.25