Finding the Third Proportional to 27,042 and 57,820

Step by Step Solution

1. Step 1: Write the proportion equation
   27,042 : 57,820 = 57,820 : x
2. Step 2: Convert to fraction form
   27,042/57,820 = 57,820/x
3. Step 3: Cross multiply
   27,042x = 57,820 × 57,820
4. Step 4: Simplify right side
   27,042x = 3,343,152,400
5. Step 5: Solve for x
   x = 3,343,152,400/27,042
6. Step 6: Final answer
   x = 123,628.15