Finding the Third Proportional to 46,580 and 65,846

Step by Step Solution

1. Step 1: Write the proportion equation
   46,580 : 65,846 = 65,846 : x
2. Step 2: Convert to fraction form
   46,580/65,846 = 65,846/x
3. Step 3: Cross multiply
   46,580x = 65,846 × 65,846
4. Step 4: Simplify right side
   46,580x = 4,335,695,716
5. Step 5: Solve for x
   x = 4,335,695,716/46,580
6. Step 6: Final answer
   x = 93,080.63