Finding the Third Proportional to 10,174.50 and 21,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.50 : 21,460.50 = 21,460.50 : x
2. Step 2: Convert to fraction form
   10,174.50/21,460.50 = 21,460.50/x
3. Step 3: Cross multiply
   10,174.50x = 21,460.50 × 21,460.50
4. Step 4: Simplify right side
   10,174.50x = 460,553,060.25
5. Step 5: Solve for x
   x = 460,553,060.25/10,174.50
6. Step 6: Final answer
   x = 45,265.42