Finding the Third Proportional to 37,820 and 79,508

Step by Step Solution

1. Step 1: Write the proportion equation
   37,820 : 79,508 = 79,508 : x
2. Step 2: Convert to fraction form
   37,820/79,508 = 79,508/x
3. Step 3: Cross multiply
   37,820x = 79,508 × 79,508
4. Step 4: Simplify right side
   37,820x = 6,321,522,064
5. Step 5: Solve for x
   x = 6,321,522,064/37,820
6. Step 6: Final answer
   x = 167,147.60