Finding the Third Proportional to 34,264 and 51,164

Step by Step Solution

1. Step 1: Write the proportion equation
   34,264 : 51,164 = 51,164 : x
2. Step 2: Convert to fraction form
   34,264/51,164 = 51,164/x
3. Step 3: Cross multiply
   34,264x = 51,164 × 51,164
4. Step 4: Simplify right side
   34,264x = 2,617,754,896
5. Step 5: Solve for x
   x = 2,617,754,896/34,264
6. Step 6: Final answer
   x = 76,399.57