Finding the Third Proportional to 12,174.75 and 26,564.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,174.75 : 26,564.63 = 26,564.63 : x
2. Step 2: Convert to fraction form
   12,174.75/26,564.63 = 26,564.63/x
3. Step 3: Cross multiply
   12,174.75x = 26,564.63 × 26,564.63
4. Step 4: Simplify right side
   12,174.75x = 705,679,301.39
5. Step 5: Solve for x
   x = 705,679,301.39/12,174.75
6. Step 6: Final answer
   x = 57,962.53