Finding the Third Proportional to 37,004 and 80,294

Step by Step Solution

1. Step 1: Write the proportion equation
   37,004 : 80,294 = 80,294 : x
2. Step 2: Convert to fraction form
   37,004/80,294 = 80,294/x
3. Step 3: Cross multiply
   37,004x = 80,294 × 80,294
4. Step 4: Simplify right side
   37,004x = 6,447,126,436
5. Step 5: Solve for x
   x = 6,447,126,436/37,004
6. Step 6: Final answer
   x = 174,227.82