Finding the Third Proportional to 27,051 and 59,019

Step by Step Solution

1. Step 1: Write the proportion equation
   27,051 : 59,019 = 59,019 : x
2. Step 2: Convert to fraction form
   27,051/59,019 = 59,019/x
3. Step 3: Cross multiply
   27,051x = 59,019 × 59,019
4. Step 4: Simplify right side
   27,051x = 3,483,242,361
5. Step 5: Solve for x
   x = 3,483,242,361/27,051
6. Step 6: Final answer
   x = 128,765.75