Finding the Third Proportional to 34,550 and 71,281

Step by Step Solution

1. Step 1: Write the proportion equation
   34,550 : 71,281 = 71,281 : x
2. Step 2: Convert to fraction form
   34,550/71,281 = 71,281/x
3. Step 3: Cross multiply
   34,550x = 71,281 × 71,281
4. Step 4: Simplify right side
   34,550x = 5,080,980,961
5. Step 5: Solve for x
   x = 5,080,980,961/34,550
6. Step 6: Final answer
   x = 147,061.68