Finding the Third Proportional to 34,982 and 52,459

Step by Step Solution

1. Step 1: Write the proportion equation
   34,982 : 52,459 = 52,459 : x
2. Step 2: Convert to fraction form
   34,982/52,459 = 52,459/x
3. Step 3: Cross multiply
   34,982x = 52,459 × 52,459
4. Step 4: Simplify right side
   34,982x = 2,751,946,681
5. Step 5: Solve for x
   x = 2,751,946,681/34,982
6. Step 6: Final answer
   x = 78,667.51