Finding the Third Proportional to 35,029 and 76,871

Step by Step Solution

1. Step 1: Write the proportion equation
   35,029 : 76,871 = 76,871 : x
2. Step 2: Convert to fraction form
   35,029/76,871 = 76,871/x
3. Step 3: Cross multiply
   35,029x = 76,871 × 76,871
4. Step 4: Simplify right side
   35,029x = 5,909,150,641
5. Step 5: Solve for x
   x = 5,909,150,641/35,029
6. Step 6: Final answer
   x = 168,693.10