Finding the Third Proportional to 13,225.75 and 27,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,225.75 : 27,547.50 = 27,547.50 : x
2. Step 2: Convert to fraction form
   13,225.75/27,547.50 = 27,547.50/x
3. Step 3: Cross multiply
   13,225.75x = 27,547.50 × 27,547.50
4. Step 4: Simplify right side
   13,225.75x = 758,864,756.25
5. Step 5: Solve for x
   x = 758,864,756.25/13,225.75
6. Step 6: Final answer
   x = 57,377.82