Finding the Third Proportional to 35,880 and 76,494

Step by Step Solution

1. Step 1: Write the proportion equation
   35,880 : 76,494 = 76,494 : x
2. Step 2: Convert to fraction form
   35,880/76,494 = 76,494/x
3. Step 3: Cross multiply
   35,880x = 76,494 × 76,494
4. Step 4: Simplify right side
   35,880x = 5,851,332,036
5. Step 5: Solve for x
   x = 5,851,332,036/35,880
6. Step 6: Final answer
   x = 163,080.60