Finding the Third Proportional to 20,538 and 42,047.25

Step by Step Solution

1. Step 1: Write the proportion equation
   20,538 : 42,047.25 = 42,047.25 : x
2. Step 2: Convert to fraction form
   20,538/42,047.25 = 42,047.25/x
3. Step 3: Cross multiply
   20,538x = 42,047.25 × 42,047.25
4. Step 4: Simplify right side
   20,538x = 1,767,971,232.56
5. Step 5: Solve for x
   x = 1,767,971,232.56/20,538
6. Step 6: Final answer
   x = 86,082.93