Finding the Third Proportional to 38,495 and 80,014

Step by Step Solution

1. Step 1: Write the proportion equation
   38,495 : 80,014 = 80,014 : x
2. Step 2: Convert to fraction form
   38,495/80,014 = 80,014/x
3. Step 3: Cross multiply
   38,495x = 80,014 × 80,014
4. Step 4: Simplify right side
   38,495x = 6,402,240,196
5. Step 5: Solve for x
   x = 6,402,240,196/38,495
6. Step 6: Final answer
   x = 166,313.55