Finding the Third Proportional to 7,038.14 and 14,972.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,038.14 : 14,972.34 = 14,972.34 : x
2. Step 2: Convert to fraction form
   7,038.14/14,972.34 = 14,972.34/x
3. Step 3: Cross multiply
   7,038.14x = 14,972.34 × 14,972.34
4. Step 4: Simplify right side
   7,038.14x = 224,171,077.37
5. Step 5: Solve for x
   x = 224,171,077.37/7,038.14
6. Step 6: Final answer
   x = 31,850.89