Finding the Third Proportional to 37,860 and 79,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,860 : 79,639.50 = 79,639.50 : x
2. Step 2: Convert to fraction form
   37,860/79,639.50 = 79,639.50/x
3. Step 3: Cross multiply
   37,860x = 79,639.50 × 79,639.50
4. Step 4: Simplify right side
   37,860x = 6,342,449,960.25
5. Step 5: Solve for x
   x = 6,342,449,960.25/37,860
6. Step 6: Final answer
   x = 167,523.77