Finding the Third Proportional to 27,189 and 42,023.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,189 : 42,023.25 = 42,023.25 : x
2. Step 2: Convert to fraction form
   27,189/42,023.25 = 42,023.25/x
3. Step 3: Cross multiply
   27,189x = 42,023.25 × 42,023.25
4. Step 4: Simplify right side
   27,189x = 1,765,953,540.56
5. Step 5: Solve for x
   x = 1,765,953,540.56/27,189
6. Step 6: Final answer
   x = 64,951.03