Finding the Third Proportional to 35,648 and 72,160

Step by Step Solution

1. Step 1: Write the proportion equation
   35,648 : 72,160 = 72,160 : x
2. Step 2: Convert to fraction form
   35,648/72,160 = 72,160/x
3. Step 3: Cross multiply
   35,648x = 72,160 × 72,160
4. Step 4: Simplify right side
   35,648x = 5,207,065,600
5. Step 5: Solve for x
   x = 5,207,065,600/35,648
6. Step 6: Final answer
   x = 146,068.94