Finding the Third Proportional to 12,584.53 and 26,627.06

Step by Step Solution

1. Step 1: Write the proportion equation
   12,584.53 : 26,627.06 = 26,627.06 : x
2. Step 2: Convert to fraction form
   12,584.53/26,627.06 = 26,627.06/x
3. Step 3: Cross multiply
   12,584.53x = 26,627.06 × 26,627.06
4. Step 4: Simplify right side
   12,584.53x = 709,000,457.38
5. Step 5: Solve for x
   x = 709,000,457.38/12,584.53
6. Step 6: Final answer
   x = 56,339.04