Finding the Third Proportional to 47,724 and 73,389

Step by Step Solution

1. Step 1: Write the proportion equation
   47,724 : 73,389 = 73,389 : x
2. Step 2: Convert to fraction form
   47,724/73,389 = 73,389/x
3. Step 3: Cross multiply
   47,724x = 73,389 × 73,389
4. Step 4: Simplify right side
   47,724x = 5,385,945,321
5. Step 5: Solve for x
   x = 5,385,945,321/47,724
6. Step 6: Final answer
   x = 112,856.12