Finding the Third Proportional to 21,702 and 32,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,702 : 32,785.50 = 32,785.50 : x
2. Step 2: Convert to fraction form
   21,702/32,785.50 = 32,785.50/x
3. Step 3: Cross multiply
   21,702x = 32,785.50 × 32,785.50
4. Step 4: Simplify right side
   21,702x = 1,074,889,010.25
5. Step 5: Solve for x
   x = 1,074,889,010.25/21,702
6. Step 6: Final answer
   x = 49,529.49