Finding the Third Proportional to 5,706 and 14,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,706 : 14,071.50 = 14,071.50 : x
2. Step 2: Convert to fraction form
   5,706/14,071.50 = 14,071.50/x
3. Step 3: Cross multiply
   5,706x = 14,071.50 × 14,071.50
4. Step 4: Simplify right side
   5,706x = 198,007,112.25
5. Step 5: Solve for x
   x = 198,007,112.25/5,706
6. Step 6: Final answer
   x = 34,701.56