Finding the Third Proportional to 38,456 and 82,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,456 : 82,014.50 = 82,014.50 : x
2. Step 2: Convert to fraction form
   38,456/82,014.50 = 82,014.50/x
3. Step 3: Cross multiply
   38,456x = 82,014.50 × 82,014.50
4. Step 4: Simplify right side
   38,456x = 6,726,378,210.25
5. Step 5: Solve for x
   x = 6,726,378,210.25/38,456
6. Step 6: Final answer
   x = 174,911.02