Finding the Third Proportional to 25,980 and 37,152

Step by Step Solution

1. Step 1: Write the proportion equation
   25,980 : 37,152 = 37,152 : x
2. Step 2: Convert to fraction form
   25,980/37,152 = 37,152/x
3. Step 3: Cross multiply
   25,980x = 37,152 × 37,152
4. Step 4: Simplify right side
   25,980x = 1,380,271,104
5. Step 5: Solve for x
   x = 1,380,271,104/25,980
6. Step 6: Final answer
   x = 53,128.22