Finding the Third Proportional to 35,500 and 77,264

Step by Step Solution

1. Step 1: Write the proportion equation
   35,500 : 77,264 = 77,264 : x
2. Step 2: Convert to fraction form
   35,500/77,264 = 77,264/x
3. Step 3: Cross multiply
   35,500x = 77,264 × 77,264
4. Step 4: Simplify right side
   35,500x = 5,969,725,696
5. Step 5: Solve for x
   x = 5,969,725,696/35,500
6. Step 6: Final answer
   x = 168,161.29