Finding the Third Proportional to 35,688 and 72,348

Step by Step Solution

1. Step 1: Write the proportion equation
   35,688 : 72,348 = 72,348 : x
2. Step 2: Convert to fraction form
   35,688/72,348 = 72,348/x
3. Step 3: Cross multiply
   35,688x = 72,348 × 72,348
4. Step 4: Simplify right side
   35,688x = 5,234,233,104
5. Step 5: Solve for x
   x = 5,234,233,104/35,688
6. Step 6: Final answer
   x = 146,666.47