Finding the Third Proportional to 1,957.50 and 5,106.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,957.50 : 5,106.38 = 5,106.38 : x
2. Step 2: Convert to fraction form
   1,957.50/5,106.38 = 5,106.38/x
3. Step 3: Cross multiply
   1,957.50x = 5,106.38 × 5,106.38
4. Step 4: Simplify right side
   1,957.50x = 26,075,065.64
5. Step 5: Solve for x
   x = 26,075,065.64/1,957.50
6. Step 6: Final answer
   x = 13,320.60