Finding the Third Proportional to 45,783 and 65,346

Step by Step Solution

1. Step 1: Write the proportion equation
   45,783 : 65,346 = 65,346 : x
2. Step 2: Convert to fraction form
   45,783/65,346 = 65,346/x
3. Step 3: Cross multiply
   45,783x = 65,346 × 65,346
4. Step 4: Simplify right side
   45,783x = 4,270,099,716
5. Step 5: Solve for x
   x = 4,270,099,716/45,783
6. Step 6: Final answer
   x = 93,268.24