Finding the Third Proportional to 10,581 and 22,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,581 : 22,619.50 = 22,619.50 : x
2. Step 2: Convert to fraction form
   10,581/22,619.50 = 22,619.50/x
3. Step 3: Cross multiply
   10,581x = 22,619.50 × 22,619.50
4. Step 4: Simplify right side
   10,581x = 511,641,780.25
5. Step 5: Solve for x
   x = 511,641,780.25/10,581
6. Step 6: Final answer
   x = 48,354.77