Finding the Third Proportional to 10,327.50 and 22,406.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,327.50 : 22,406.63 = 22,406.63 : x
2. Step 2: Convert to fraction form
   10,327.50/22,406.63 = 22,406.63/x
3. Step 3: Cross multiply
   10,327.50x = 22,406.63 × 22,406.63
4. Step 4: Simplify right side
   10,327.50x = 502,056,843.89
5. Step 5: Solve for x
   x = 502,056,843.89/10,327.50
6. Step 6: Final answer
   x = 48,613.59