Finding the Third Proportional to 25,758 and 56,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,758 : 56,436.50 = 56,436.50 : x
2. Step 2: Convert to fraction form
   25,758/56,436.50 = 56,436.50/x
3. Step 3: Cross multiply
   25,758x = 56,436.50 × 56,436.50
4. Step 4: Simplify right side
   25,758x = 3,185,078,532.25
5. Step 5: Solve for x
   x = 3,185,078,532.25/25,758
6. Step 6: Final answer
   x = 123,653.95