Finding the Third Proportional to 11,701 and 25,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,701 : 25,588.50 = 25,588.50 : x
2. Step 2: Convert to fraction form
   11,701/25,588.50 = 25,588.50/x
3. Step 3: Cross multiply
   11,701x = 25,588.50 × 25,588.50
4. Step 4: Simplify right side
   11,701x = 654,771,332.25
5. Step 5: Solve for x
   x = 654,771,332.25/11,701
6. Step 6: Final answer
   x = 55,958.58