Finding the Third Proportional to 11,760 and 25,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,760 : 25,705.50 = 25,705.50 : x
2. Step 2: Convert to fraction form
   11,760/25,705.50 = 25,705.50/x
3. Step 3: Cross multiply
   11,760x = 25,705.50 × 25,705.50
4. Step 4: Simplify right side
   11,760x = 660,772,730.25
5. Step 5: Solve for x
   x = 660,772,730.25/11,760
6. Step 6: Final answer
   x = 56,188.16