Finding the Third Proportional to 1,547.34 and 3,388.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,547.34 : 3,388.27 = 3,388.27 : x
2. Step 2: Convert to fraction form
   1,547.34/3,388.27 = 3,388.27/x
3. Step 3: Cross multiply
   1,547.34x = 3,388.27 × 3,388.27
4. Step 4: Simplify right side
   1,547.34x = 11,480,343.95
5. Step 5: Solve for x
   x = 11,480,343.95/1,547.34
6. Step 6: Final answer
   x = 7,419.39