Finding the Third Proportional to 10,114.31 and 22,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.31 : 22,072.50 = 22,072.50 : x
2. Step 2: Convert to fraction form
   10,114.31/22,072.50 = 22,072.50/x
3. Step 3: Cross multiply
   10,114.31x = 22,072.50 × 22,072.50
4. Step 4: Simplify right side
   10,114.31x = 487,195,256.25
5. Step 5: Solve for x
   x = 487,195,256.25/10,114.31
6. Step 6: Final answer
   x = 48,168.89