Finding the Third Proportional to 37,462 and 79,691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,462 : 79,691.50 = 79,691.50 : x
2. Step 2: Convert to fraction form
   37,462/79,691.50 = 79,691.50/x
3. Step 3: Cross multiply
   37,462x = 79,691.50 × 79,691.50
4. Step 4: Simplify right side
   37,462x = 6,350,735,172.25
5. Step 5: Solve for x
   x = 6,350,735,172.25/37,462
6. Step 6: Final answer
   x = 169,524.72