Finding the Third Proportional to 27,398 and 59,730

Step by Step Solution

1. Step 1: Write the proportion equation
   27,398 : 59,730 = 59,730 : x
2. Step 2: Convert to fraction form
   27,398/59,730 = 59,730/x
3. Step 3: Cross multiply
   27,398x = 59,730 × 59,730
4. Step 4: Simplify right side
   27,398x = 3,567,672,900
5. Step 5: Solve for x
   x = 3,567,672,900/27,398
6. Step 6: Final answer
   x = 130,216.55