Finding the Third Proportional to 34,683 and 75,810

Step by Step Solution

1. Step 1: Write the proportion equation
   34,683 : 75,810 = 75,810 : x
2. Step 2: Convert to fraction form
   34,683/75,810 = 75,810/x
3. Step 3: Cross multiply
   34,683x = 75,810 × 75,810
4. Step 4: Simplify right side
   34,683x = 5,747,156,100
5. Step 5: Solve for x
   x = 5,747,156,100/34,683
6. Step 6: Final answer
   x = 165,705.28