Finding the Third Proportional to 21,409 and 32,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,409 : 32,932.50 = 32,932.50 : x
2. Step 2: Convert to fraction form
   21,409/32,932.50 = 32,932.50/x
3. Step 3: Cross multiply
   21,409x = 32,932.50 × 32,932.50
4. Step 4: Simplify right side
   21,409x = 1,084,549,556.25
5. Step 5: Solve for x
   x = 1,084,549,556.25/21,409
6. Step 6: Final answer
   x = 50,658.58