Finding the Third Proportional to 27,242 and 59,386

Step by Step Solution

1. Step 1: Write the proportion equation
   27,242 : 59,386 = 59,386 : x
2. Step 2: Convert to fraction form
   27,242/59,386 = 59,386/x
3. Step 3: Cross multiply
   27,242x = 59,386 × 59,386
4. Step 4: Simplify right side
   27,242x = 3,526,696,996
5. Step 5: Solve for x
   x = 3,526,696,996/27,242
6. Step 6: Final answer
   x = 129,458.08