Finding the Third Proportional to 6,334.50 and 13,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,334.50 : 13,762.50 = 13,762.50 : x
2. Step 2: Convert to fraction form
   6,334.50/13,762.50 = 13,762.50/x
3. Step 3: Cross multiply
   6,334.50x = 13,762.50 × 13,762.50
4. Step 4: Simplify right side
   6,334.50x = 189,406,406.25
5. Step 5: Solve for x
   x = 189,406,406.25/6,334.50
6. Step 6: Final answer
   x = 29,900.77