Finding the Third Proportional to 18,540 and 27,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,540 : 27,967.50 = 27,967.50 : x
2. Step 2: Convert to fraction form
   18,540/27,967.50 = 27,967.50/x
3. Step 3: Cross multiply
   18,540x = 27,967.50 × 27,967.50
4. Step 4: Simplify right side
   18,540x = 782,181,056.25
5. Step 5: Solve for x
   x = 782,181,056.25/18,540
6. Step 6: Final answer
   x = 42,188.84