Finding the Third Proportional to 1,374.19 and 2,152.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.19 : 2,152.69 = 2,152.69 : x
2. Step 2: Convert to fraction form
   1,374.19/2,152.69 = 2,152.69/x
3. Step 3: Cross multiply
   1,374.19x = 2,152.69 × 2,152.69
4. Step 4: Simplify right side
   1,374.19x = 4,634,063.47
5. Step 5: Solve for x
   x = 4,634,063.47/1,374.19
6. Step 6: Final answer
   x = 3,372.22