Finding the Third Proportional to 45,654 and 72,441

Step by Step Solution

1. Step 1: Write the proportion equation
   45,654 : 72,441 = 72,441 : x
2. Step 2: Convert to fraction form
   45,654/72,441 = 72,441/x
3. Step 3: Cross multiply
   45,654x = 72,441 × 72,441
4. Step 4: Simplify right side
   45,654x = 5,247,698,481
5. Step 5: Solve for x
   x = 5,247,698,481/45,654
6. Step 6: Final answer
   x = 114,944.99