Finding the Third Proportional to 1,946.53 and 5,133.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,946.53 : 5,133.38 = 5,133.38 : x
2. Step 2: Convert to fraction form
   1,946.53/5,133.38 = 5,133.38/x
3. Step 3: Cross multiply
   1,946.53x = 5,133.38 × 5,133.38
4. Step 4: Simplify right side
   1,946.53x = 26,351,538.89
5. Step 5: Solve for x
   x = 26,351,538.89/1,946.53
6. Step 6: Final answer
   x = 13,537.69