Finding the Third Proportional to 10,588.50 and 22,705.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.50 : 22,705.88 = 22,705.88 : x
2. Step 2: Convert to fraction form
   10,588.50/22,705.88 = 22,705.88/x
3. Step 3: Cross multiply
   10,588.50x = 22,705.88 × 22,705.88
4. Step 4: Simplify right side
   10,588.50x = 515,556,759.52
5. Step 5: Solve for x
   x = 515,556,759.52/10,588.50
6. Step 6: Final answer
   x = 48,690.25