Finding the Third Proportional to 6,925 and 10,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,925 : 10,459.50 = 10,459.50 : x
2. Step 2: Convert to fraction form
   6,925/10,459.50 = 10,459.50/x
3. Step 3: Cross multiply
   6,925x = 10,459.50 × 10,459.50
4. Step 4: Simplify right side
   6,925x = 109,401,140.25
5. Step 5: Solve for x
   x = 109,401,140.25/6,925
6. Step 6: Final answer
   x = 15,798.00