Finding the Third Proportional to 25,600 and 60,736

Step by Step Solution

1. Step 1: Write the proportion equation
   25,600 : 60,736 = 60,736 : x
2. Step 2: Convert to fraction form
   25,600/60,736 = 60,736/x
3. Step 3: Cross multiply
   25,600x = 60,736 × 60,736
4. Step 4: Simplify right side
   25,600x = 3,688,861,696
5. Step 5: Solve for x
   x = 3,688,861,696/25,600
6. Step 6: Final answer
   x = 144,096.16