Finding the Third Proportional to 10,072.50 and 17,484.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.50 : 17,484.75 = 17,484.75 : x
2. Step 2: Convert to fraction form
   10,072.50/17,484.75 = 17,484.75/x
3. Step 3: Cross multiply
   10,072.50x = 17,484.75 × 17,484.75
4. Step 4: Simplify right side
   10,072.50x = 305,716,482.56
5. Step 5: Solve for x
   x = 305,716,482.56/10,072.50
6. Step 6: Final answer
   x = 30,351.60