Finding the Third Proportional to 10,072.50 and 22,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.50 : 22,087.50 = 22,087.50 : x
2. Step 2: Convert to fraction form
   10,072.50/22,087.50 = 22,087.50/x
3. Step 3: Cross multiply
   10,072.50x = 22,087.50 × 22,087.50
4. Step 4: Simplify right side
   10,072.50x = 487,857,656.25
5. Step 5: Solve for x
   x = 487,857,656.25/10,072.50
6. Step 6: Final answer
   x = 48,434.61