Finding the Third Proportional to 6,430 and 13,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,430 : 13,649.50 = 13,649.50 : x
2. Step 2: Convert to fraction form
   6,430/13,649.50 = 13,649.50/x
3. Step 3: Cross multiply
   6,430x = 13,649.50 × 13,649.50
4. Step 4: Simplify right side
   6,430x = 186,308,850.25
5. Step 5: Solve for x
   x = 186,308,850.25/6,430
6. Step 6: Final answer
   x = 28,974.94