Finding the Third Proportional to 10,181 and 21,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,181 : 21,470.50 = 21,470.50 : x
2. Step 2: Convert to fraction form
   10,181/21,470.50 = 21,470.50/x
3. Step 3: Cross multiply
   10,181x = 21,470.50 × 21,470.50
4. Step 4: Simplify right side
   10,181x = 460,982,370.25
5. Step 5: Solve for x
   x = 460,982,370.25/10,181
6. Step 6: Final answer
   x = 45,278.69