Finding the Third Proportional to 34,506 and 75,510

Step by Step Solution

1. Step 1: Write the proportion equation
   34,506 : 75,510 = 75,510 : x
2. Step 2: Convert to fraction form
   34,506/75,510 = 75,510/x
3. Step 3: Cross multiply
   34,506x = 75,510 × 75,510
4. Step 4: Simplify right side
   34,506x = 5,701,760,100
5. Step 5: Solve for x
   x = 5,701,760,100/34,506
6. Step 6: Final answer
   x = 165,239.67