Finding the Third Proportional to 47,668 and 72,526

Step by Step Solution

1. Step 1: Write the proportion equation
   47,668 : 72,526 = 72,526 : x
2. Step 2: Convert to fraction form
   47,668/72,526 = 72,526/x
3. Step 3: Cross multiply
   47,668x = 72,526 × 72,526
4. Step 4: Simplify right side
   47,668x = 5,260,020,676
5. Step 5: Solve for x
   x = 5,260,020,676/47,668
6. Step 6: Final answer
   x = 110,347.00