Finding the Third Proportional to 38,280 and 56,326

Step by Step Solution

1. Step 1: Write the proportion equation
   38,280 : 56,326 = 56,326 : x
2. Step 2: Convert to fraction form
   38,280/56,326 = 56,326/x
3. Step 3: Cross multiply
   38,280x = 56,326 × 56,326
4. Step 4: Simplify right side
   38,280x = 3,172,618,276
5. Step 5: Solve for x
   x = 3,172,618,276/38,280
6. Step 6: Final answer
   x = 82,879.27