Finding the Third Proportional to 46,026 and 72,747

Step by Step Solution

1. Step 1: Write the proportion equation
   46,026 : 72,747 = 72,747 : x
2. Step 2: Convert to fraction form
   46,026/72,747 = 72,747/x
3. Step 3: Cross multiply
   46,026x = 72,747 × 72,747
4. Step 4: Simplify right side
   46,026x = 5,292,126,009
5. Step 5: Solve for x
   x = 5,292,126,009/46,026
6. Step 6: Final answer
   x = 114,981.23