Finding the Third Proportional to 7,007 and 10,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,007 : 10,077.50 = 10,077.50 : x
2. Step 2: Convert to fraction form
   7,007/10,077.50 = 10,077.50/x
3. Step 3: Cross multiply
   7,007x = 10,077.50 × 10,077.50
4. Step 4: Simplify right side
   7,007x = 101,556,006.25
5. Step 5: Solve for x
   x = 101,556,006.25/7,007
6. Step 6: Final answer
   x = 14,493.51