Finding the Third Proportional to 27,214 and 42,054

Step by Step Solution

1. Step 1: Write the proportion equation
   27,214 : 42,054 = 42,054 : x
2. Step 2: Convert to fraction form
   27,214/42,054 = 42,054/x
3. Step 3: Cross multiply
   27,214x = 42,054 × 42,054
4. Step 4: Simplify right side
   27,214x = 1,768,538,916
5. Step 5: Solve for x
   x = 1,768,538,916/27,214
6. Step 6: Final answer
   x = 64,986.36