Finding the Third Proportional to 37,852.50 and 79,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,852.50 : 79,624.50 = 79,624.50 : x
2. Step 2: Convert to fraction form
   37,852.50/79,624.50 = 79,624.50/x
3. Step 3: Cross multiply
   37,852.50x = 79,624.50 × 79,624.50
4. Step 4: Simplify right side
   37,852.50x = 6,340,061,000.25
5. Step 5: Solve for x
   x = 6,340,061,000.25/37,852.50
6. Step 6: Final answer
   x = 167,493.85