Finding the Third Proportional to 10,193.34 and 22,084.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,193.34 : 22,084.31 = 22,084.31 : x
2. Step 2: Convert to fraction form
   10,193.34/22,084.31 = 22,084.31/x
3. Step 3: Cross multiply
   10,193.34x = 22,084.31 × 22,084.31
4. Step 4: Simplify right side
   10,193.34x = 487,716,858.60
5. Step 5: Solve for x
   x = 487,716,858.60/10,193.34
6. Step 6: Final answer
   x = 47,846.60