Finding the Third Proportional to 5,698 and 14,052.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,698 : 14,052.50 = 14,052.50 : x
2. Step 2: Convert to fraction form
   5,698/14,052.50 = 14,052.50/x
3. Step 3: Cross multiply
   5,698x = 14,052.50 × 14,052.50
4. Step 4: Simplify right side
   5,698x = 197,472,756.25
5. Step 5: Solve for x
   x = 197,472,756.25/5,698
6. Step 6: Final answer
   x = 34,656.50