Finding the Third Proportional to 8,078 and 17,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,078 : 17,432.50 = 17,432.50 : x
2. Step 2: Convert to fraction form
   8,078/17,432.50 = 17,432.50/x
3. Step 3: Cross multiply
   8,078x = 17,432.50 × 17,432.50
4. Step 4: Simplify right side
   8,078x = 303,892,056.25
5. Step 5: Solve for x
   x = 303,892,056.25/8,078
6. Step 6: Final answer
   x = 37,619.71