Finding the Third Proportional to 5,972.50 and 13,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,972.50 : 13,946.50 = 13,946.50 : x
2. Step 2: Convert to fraction form
   5,972.50/13,946.50 = 13,946.50/x
3. Step 3: Cross multiply
   5,972.50x = 13,946.50 × 13,946.50
4. Step 4: Simplify right side
   5,972.50x = 194,504,862.25
5. Step 5: Solve for x
   x = 194,504,862.25/5,972.50
6. Step 6: Final answer
   x = 32,566.74