Finding the Third Proportional to 11,632 and 25,861

Step by Step Solution

1. Step 1: Write the proportion equation
   11,632 : 25,861 = 25,861 : x
2. Step 2: Convert to fraction form
   11,632/25,861 = 25,861/x
3. Step 3: Cross multiply
   11,632x = 25,861 × 25,861
4. Step 4: Simplify right side
   11,632x = 668,791,321
5. Step 5: Solve for x
   x = 668,791,321/11,632
6. Step 6: Final answer
   x = 57,495.82