Finding the Third Proportional to 21,135 and 31,784

Step by Step Solution

1. Step 1: Write the proportion equation
   21,135 : 31,784 = 31,784 : x
2. Step 2: Convert to fraction form
   21,135/31,784 = 31,784/x
3. Step 3: Cross multiply
   21,135x = 31,784 × 31,784
4. Step 4: Simplify right side
   21,135x = 1,010,222,656
5. Step 5: Solve for x
   x = 1,010,222,656/21,135
6. Step 6: Final answer
   x = 47,798.56