Finding the Third Proportional to 35,069 and 76,564

Step by Step Solution

1. Step 1: Write the proportion equation
   35,069 : 76,564 = 76,564 : x
2. Step 2: Convert to fraction form
   35,069/76,564 = 76,564/x
3. Step 3: Cross multiply
   35,069x = 76,564 × 76,564
4. Step 4: Simplify right side
   35,069x = 5,862,046,096
5. Step 5: Solve for x
   x = 5,862,046,096/35,069
6. Step 6: Final answer
   x = 167,157.49