Finding the Third Proportional to 35,124 and 76,080

Step by Step Solution

1. Step 1: Write the proportion equation
   35,124 : 76,080 = 76,080 : x
2. Step 2: Convert to fraction form
   35,124/76,080 = 76,080/x
3. Step 3: Cross multiply
   35,124x = 76,080 × 76,080
4. Step 4: Simplify right side
   35,124x = 5,788,166,400
5. Step 5: Solve for x
   x = 5,788,166,400/35,124
6. Step 6: Final answer
   x = 164,792.35