Finding the Third Proportional to 10,348.50 and 22,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,348.50 : 22,213.50 = 22,213.50 : x
2. Step 2: Convert to fraction form
   10,348.50/22,213.50 = 22,213.50/x
3. Step 3: Cross multiply
   10,348.50x = 22,213.50 × 22,213.50
4. Step 4: Simplify right side
   10,348.50x = 493,439,582.25
5. Step 5: Solve for x
   x = 493,439,582.25/10,348.50
6. Step 6: Final answer
   x = 47,682.23