Finding the Third Proportional to 6,995 and 10,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,995 : 10,547.50 = 10,547.50 : x
2. Step 2: Convert to fraction form
   6,995/10,547.50 = 10,547.50/x
3. Step 3: Cross multiply
   6,995x = 10,547.50 × 10,547.50
4. Step 4: Simplify right side
   6,995x = 111,249,756.25
5. Step 5: Solve for x
   x = 111,249,756.25/6,995
6. Step 6: Final answer
   x = 15,904.18