Finding the Third Proportional to 47,830 and 65,657

Step by Step Solution

1. Step 1: Write the proportion equation
   47,830 : 65,657 = 65,657 : x
2. Step 2: Convert to fraction form
   47,830/65,657 = 65,657/x
3. Step 3: Cross multiply
   47,830x = 65,657 × 65,657
4. Step 4: Simplify right side
   47,830x = 4,310,841,649
5. Step 5: Solve for x
   x = 4,310,841,649/47,830
6. Step 6: Final answer
   x = 90,128.41