Finding the Third Proportional to 11,870 and 17,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,870 : 17,772.50 = 17,772.50 : x
2. Step 2: Convert to fraction form
   11,870/17,772.50 = 17,772.50/x
3. Step 3: Cross multiply
   11,870x = 17,772.50 × 17,772.50
4. Step 4: Simplify right side
   11,870x = 315,861,756.25
5. Step 5: Solve for x
   x = 315,861,756.25/11,870
6. Step 6: Final answer
   x = 26,610.09