Finding the Third Proportional to 36,128 and 77,264

Step by Step Solution

1. Step 1: Write the proportion equation
   36,128 : 77,264 = 77,264 : x
2. Step 2: Convert to fraction form
   36,128/77,264 = 77,264/x
3. Step 3: Cross multiply
   36,128x = 77,264 × 77,264
4. Step 4: Simplify right side
   36,128x = 5,969,725,696
5. Step 5: Solve for x
   x = 5,969,725,696/36,128
6. Step 6: Final answer
   x = 165,238.20