Finding the Third Proportional to 5,917.50 and 13,700.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,917.50 : 13,700.25 = 13,700.25 : x
2. Step 2: Convert to fraction form
   5,917.50/13,700.25 = 13,700.25/x
3. Step 3: Cross multiply
   5,917.50x = 13,700.25 × 13,700.25
4. Step 4: Simplify right side
   5,917.50x = 187,696,850.06
5. Step 5: Solve for x
   x = 187,696,850.06/5,917.50
6. Step 6: Final answer
   x = 31,718.94