Finding the Third Proportional to 35,080 and 76,970

Step by Step Solution

1. Step 1: Write the proportion equation
   35,080 : 76,970 = 76,970 : x
2. Step 2: Convert to fraction form
   35,080/76,970 = 76,970/x
3. Step 3: Cross multiply
   35,080x = 76,970 × 76,970
4. Step 4: Simplify right side
   35,080x = 5,924,380,900
5. Step 5: Solve for x
   x = 5,924,380,900/35,080
6. Step 6: Final answer
   x = 168,882.01