Finding the Third Proportional to 11,594 and 25,258

Step by Step Solution

1. Step 1: Write the proportion equation
   11,594 : 25,258 = 25,258 : x
2. Step 2: Convert to fraction form
   11,594/25,258 = 25,258/x
3. Step 3: Cross multiply
   11,594x = 25,258 × 25,258
4. Step 4: Simplify right side
   11,594x = 637,966,564
5. Step 5: Solve for x
   x = 637,966,564/11,594
6. Step 6: Final answer
   x = 55,025.58