Finding the Third Proportional to 3,970 and 10,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,970 : 10,460.50 = 10,460.50 : x
2. Step 2: Convert to fraction form
   3,970/10,460.50 = 10,460.50/x
3. Step 3: Cross multiply
   3,970x = 10,460.50 × 10,460.50
4. Step 4: Simplify right side
   3,970x = 109,422,060.25
5. Step 5: Solve for x
   x = 109,422,060.25/3,970
6. Step 6: Final answer
   x = 27,562.23