Finding the Third Proportional to 37,678.50 and 79,234.88

Step by Step Solution

1. Step 1: Write the proportion equation
   37,678.50 : 79,234.88 = 79,234.88 : x
2. Step 2: Convert to fraction form
   37,678.50/79,234.88 = 79,234.88/x
3. Step 3: Cross multiply
   37,678.50x = 79,234.88 × 79,234.88
4. Step 4: Simplify right side
   37,678.50x = 6,278,165,416.27
5. Step 5: Solve for x
   x = 6,278,165,416.27/37,678.50
6. Step 6: Final answer
   x = 166,624.61