Finding the Third Proportional to 47,828 and 65,654

Step by Step Solution

1. Step 1: Write the proportion equation
   47,828 : 65,654 = 65,654 : x
2. Step 2: Convert to fraction form
   47,828/65,654 = 65,654/x
3. Step 3: Cross multiply
   47,828x = 65,654 × 65,654
4. Step 4: Simplify right side
   47,828x = 4,310,447,716
5. Step 5: Solve for x
   x = 4,310,447,716/47,828
6. Step 6: Final answer
   x = 90,123.94