Finding the Third Proportional to 37,349 and 80,362

Step by Step Solution

1. Step 1: Write the proportion equation
   37,349 : 80,362 = 80,362 : x
2. Step 2: Convert to fraction form
   37,349/80,362 = 80,362/x
3. Step 3: Cross multiply
   37,349x = 80,362 × 80,362
4. Step 4: Simplify right side
   37,349x = 6,458,051,044
5. Step 5: Solve for x
   x = 6,458,051,044/37,349
6. Step 6: Final answer
   x = 172,910.95