Finding the Third Proportional to 21,870 and 35,538.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,870 : 35,538.75 = 35,538.75 : x
2. Step 2: Convert to fraction form
   21,870/35,538.75 = 35,538.75/x
3. Step 3: Cross multiply
   21,870x = 35,538.75 × 35,538.75
4. Step 4: Simplify right side
   21,870x = 1,263,002,751.56
5. Step 5: Solve for x
   x = 1,263,002,751.56/21,870
6. Step 6: Final answer
   x = 57,750.47