Finding the Third Proportional to 35,141 and 76,160

Step by Step Solution

1. Step 1: Write the proportion equation
   35,141 : 76,160 = 76,160 : x
2. Step 2: Convert to fraction form
   35,141/76,160 = 76,160/x
3. Step 3: Cross multiply
   35,141x = 76,160 × 76,160
4. Step 4: Simplify right side
   35,141x = 5,800,345,600
5. Step 5: Solve for x
   x = 5,800,345,600/35,141
6. Step 6: Final answer
   x = 165,059.21