Finding the Third Proportional to 27,783 and 59,535

Step by Step Solution

1. Step 1: Write the proportion equation
   27,783 : 59,535 = 59,535 : x
2. Step 2: Convert to fraction form
   27,783/59,535 = 59,535/x
3. Step 3: Cross multiply
   27,783x = 59,535 × 59,535
4. Step 4: Simplify right side
   27,783x = 3,544,416,225
5. Step 5: Solve for x
   x = 3,544,416,225/27,783
6. Step 6: Final answer
   x = 127,575