Finding the Third Proportional to 2,140.81 and 4,670.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,140.81 : 4,670.87 = 4,670.87 : x
2. Step 2: Convert to fraction form
   2,140.81/4,670.87 = 4,670.87/x
3. Step 3: Cross multiply
   2,140.81x = 4,670.87 × 4,670.87
4. Step 4: Simplify right side
   2,140.81x = 21,817,009.41
5. Step 5: Solve for x
   x = 21,817,009.41/2,140.81
6. Step 6: Final answer
   x = 10,190.99