Finding the Third Proportional to 37,870.50 and 79,734

Step by Step Solution

1. Step 1: Write the proportion equation
   37,870.50 : 79,734 = 79,734 : x
2. Step 2: Convert to fraction form
   37,870.50/79,734 = 79,734/x
3. Step 3: Cross multiply
   37,870.50x = 79,734 × 79,734
4. Step 4: Simplify right side
   37,870.50x = 6,357,510,756
5. Step 5: Solve for x
   x = 6,357,510,756/37,870.50
6. Step 6: Final answer
   x = 167,875.02