Finding the Third Proportional to 19,475 and 41,746

Step by Step Solution

1. Step 1: Write the proportion equation
   19,475 : 41,746 = 41,746 : x
2. Step 2: Convert to fraction form
   19,475/41,746 = 41,746/x
3. Step 3: Cross multiply
   19,475x = 41,746 × 41,746
4. Step 4: Simplify right side
   19,475x = 1,742,728,516
5. Step 5: Solve for x
   x = 1,742,728,516/19,475
6. Step 6: Final answer
   x = 89,485.42