Finding the Third Proportional to 34,384.50 and 82,802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,384.50 : 82,802.25 = 82,802.25 : x
2. Step 2: Convert to fraction form
   34,384.50/82,802.25 = 82,802.25/x
3. Step 3: Cross multiply
   34,384.50x = 82,802.25 × 82,802.25
4. Step 4: Simplify right side
   34,384.50x = 6,856,212,605.06
5. Step 5: Solve for x
   x = 6,856,212,605.06/34,384.50
6. Step 6: Final answer
   x = 199,398.35