Finding the Third Proportional to 11,685.50 and 25,513

Step by Step Solution

1. Step 1: Write the proportion equation
   11,685.50 : 25,513 = 25,513 : x
2. Step 2: Convert to fraction form
   11,685.50/25,513 = 25,513/x
3. Step 3: Cross multiply
   11,685.50x = 25,513 × 25,513
4. Step 4: Simplify right side
   11,685.50x = 650,913,169
5. Step 5: Solve for x
   x = 650,913,169/11,685.50
6. Step 6: Final answer
   x = 55,702.64