Finding the Third Proportional to 47,026 and 72,896

Step by Step Solution

1. Step 1: Write the proportion equation
   47,026 : 72,896 = 72,896 : x
2. Step 2: Convert to fraction form
   47,026/72,896 = 72,896/x
3. Step 3: Cross multiply
   47,026x = 72,896 × 72,896
4. Step 4: Simplify right side
   47,026x = 5,313,826,816
5. Step 5: Solve for x
   x = 5,313,826,816/47,026
6. Step 6: Final answer
   x = 112,997.64