Finding the Third Proportional to 24,588 and 52,760.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,588 : 52,760.25 = 52,760.25 : x
2. Step 2: Convert to fraction form
   24,588/52,760.25 = 52,760.25/x
3. Step 3: Cross multiply
   24,588x = 52,760.25 × 52,760.25
4. Step 4: Simplify right side
   24,588x = 2,783,643,980.06
5. Step 5: Solve for x
   x = 2,783,643,980.06/24,588
6. Step 6: Final answer
   x = 113,211.48