Finding the Third Proportional to 25,627.50 and 55,077

Step by Step Solution

1. Step 1: Write the proportion equation
   25,627.50 : 55,077 = 55,077 : x
2. Step 2: Convert to fraction form
   25,627.50/55,077 = 55,077/x
3. Step 3: Cross multiply
   25,627.50x = 55,077 × 55,077
4. Step 4: Simplify right side
   25,627.50x = 3,033,475,929
5. Step 5: Solve for x
   x = 3,033,475,929/25,627.50
6. Step 6: Final answer
   x = 118,368.00