Finding the Third Proportional to 27,374 and 59,020

Step by Step Solution

1. Step 1: Write the proportion equation
   27,374 : 59,020 = 59,020 : x
2. Step 2: Convert to fraction form
   27,374/59,020 = 59,020/x
3. Step 3: Cross multiply
   27,374x = 59,020 × 59,020
4. Step 4: Simplify right side
   27,374x = 3,483,360,400
5. Step 5: Solve for x
   x = 3,483,360,400/27,374
6. Step 6: Final answer
   x = 127,250.69