Finding the Third Proportional to 10,082.60 and 21,914.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.60 : 21,914.30 = 21,914.30 : x
2. Step 2: Convert to fraction form
   10,082.60/21,914.30 = 21,914.30/x
3. Step 3: Cross multiply
   10,082.60x = 21,914.30 × 21,914.30
4. Step 4: Simplify right side
   10,082.60x = 480,236,407.53
5. Step 5: Solve for x
   x = 480,236,407.53/10,082.60
6. Step 6: Final answer
   x = 47,630.21