Finding the Third Proportional to 34,184.25 and 71,823.38

Step by Step Solution

1. Step 1: Write the proportion equation
   34,184.25 : 71,823.38 = 71,823.38 : x
2. Step 2: Convert to fraction form
   34,184.25/71,823.38 = 71,823.38/x
3. Step 3: Cross multiply
   34,184.25x = 71,823.38 × 71,823.38
4. Step 4: Simplify right side
   34,184.25x = 5,158,597,196.39
5. Step 5: Solve for x
   x = 5,158,597,196.39/34,184.25
6. Step 6: Final answer
   x = 150,905.67