Finding the Third Proportional to 27,164 and 65,428

Step by Step Solution

1. Step 1: Write the proportion equation
   27,164 : 65,428 = 65,428 : x
2. Step 2: Convert to fraction form
   27,164/65,428 = 65,428/x
3. Step 3: Cross multiply
   27,164x = 65,428 × 65,428
4. Step 4: Simplify right side
   27,164x = 4,280,823,184
5. Step 5: Solve for x
   x = 4,280,823,184/27,164
6. Step 6: Final answer
   x = 157,591.78