Finding the Third Proportional to 37,620 and 80,352

Step by Step Solution

1. Step 1: Write the proportion equation
   37,620 : 80,352 = 80,352 : x
2. Step 2: Convert to fraction form
   37,620/80,352 = 80,352/x
3. Step 3: Cross multiply
   37,620x = 80,352 × 80,352
4. Step 4: Simplify right side
   37,620x = 6,456,443,904
5. Step 5: Solve for x
   x = 6,456,443,904/37,620
6. Step 6: Final answer
   x = 171,622.64