Finding the Third Proportional to 27,740 and 59,854

Step by Step Solution

1. Step 1: Write the proportion equation
   27,740 : 59,854 = 59,854 : x
2. Step 2: Convert to fraction form
   27,740/59,854 = 59,854/x
3. Step 3: Cross multiply
   27,740x = 59,854 × 59,854
4. Step 4: Simplify right side
   27,740x = 3,582,501,316
5. Step 5: Solve for x
   x = 3,582,501,316/27,740
6. Step 6: Final answer
   x = 129,145.69