Finding the Third Proportional to 35,033 and 76,880

Step by Step Solution

1. Step 1: Write the proportion equation
   35,033 : 76,880 = 76,880 : x
2. Step 2: Convert to fraction form
   35,033/76,880 = 76,880/x
3. Step 3: Cross multiply
   35,033x = 76,880 × 76,880
4. Step 4: Simplify right side
   35,033x = 5,910,534,400
5. Step 5: Solve for x
   x = 5,910,534,400/35,033
6. Step 6: Final answer
   x = 168,713.34