Finding the Third Proportional to 10,120 and 20,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,120 : 20,741.50 = 20,741.50 : x
2. Step 2: Convert to fraction form
   10,120/20,741.50 = 20,741.50/x
3. Step 3: Cross multiply
   10,120x = 20,741.50 × 20,741.50
4. Step 4: Simplify right side
   10,120x = 430,209,822.25
5. Step 5: Solve for x
   x = 430,209,822.25/10,120
6. Step 6: Final answer
   x = 42,510.85