Finding the Third Proportional to 38,814 and 83,826

Step by Step Solution

1. Step 1: Write the proportion equation
   38,814 : 83,826 = 83,826 : x
2. Step 2: Convert to fraction form
   38,814/83,826 = 83,826/x
3. Step 3: Cross multiply
   38,814x = 83,826 × 83,826
4. Step 4: Simplify right side
   38,814x = 7,026,798,276
5. Step 5: Solve for x
   x = 7,026,798,276/38,814
6. Step 6: Final answer
   x = 181,037.73