Finding the Third Proportional to 37,664 and 79,500

Step by Step Solution

1. Step 1: Write the proportion equation
   37,664 : 79,500 = 79,500 : x
2. Step 2: Convert to fraction form
   37,664/79,500 = 79,500/x
3. Step 3: Cross multiply
   37,664x = 79,500 × 79,500
4. Step 4: Simplify right side
   37,664x = 6,320,250,000
5. Step 5: Solve for x
   x = 6,320,250,000/37,664
6. Step 6: Final answer
   x = 167,806.13