Finding the Third Proportional to 21,538.50 and 34,152.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,538.50 : 34,152.75 = 34,152.75 : x
2. Step 2: Convert to fraction form
   21,538.50/34,152.75 = 34,152.75/x
3. Step 3: Cross multiply
   21,538.50x = 34,152.75 × 34,152.75
4. Step 4: Simplify right side
   21,538.50x = 1,166,410,332.56
5. Step 5: Solve for x
   x = 1,166,410,332.56/21,538.50
6. Step 6: Final answer
   x = 54,154.67