Finding the Third Proportional to 25,836 and 57,516

Step by Step Solution

1. Step 1: Write the proportion equation
   25,836 : 57,516 = 57,516 : x
2. Step 2: Convert to fraction form
   25,836/57,516 = 57,516/x
3. Step 3: Cross multiply
   25,836x = 57,516 × 57,516
4. Step 4: Simplify right side
   25,836x = 3,308,090,256
5. Step 5: Solve for x
   x = 3,308,090,256/25,836
6. Step 6: Final answer
   x = 128,041.89