Finding the Third Proportional to 37,866 and 79,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,866 : 79,651.50 = 79,651.50 : x
2. Step 2: Convert to fraction form
   37,866/79,651.50 = 79,651.50/x
3. Step 3: Cross multiply
   37,866x = 79,651.50 × 79,651.50
4. Step 4: Simplify right side
   37,866x = 6,344,361,452.25
5. Step 5: Solve for x
   x = 6,344,361,452.25/37,866
6. Step 6: Final answer
   x = 167,547.71