Finding the Third Proportional to 25,416 and 55,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,416 : 55,678.50 = 55,678.50 : x
2. Step 2: Convert to fraction form
   25,416/55,678.50 = 55,678.50/x
3. Step 3: Cross multiply
   25,416x = 55,678.50 × 55,678.50
4. Step 4: Simplify right side
   25,416x = 3,100,095,362.25
5. Step 5: Solve for x
   x = 3,100,095,362.25/25,416
6. Step 6: Final answer
   x = 121,974.16