Finding the Third Proportional to 21,340.31 and 31,864.13

Step by Step Solution

1. Step 1: Write the proportion equation
   21,340.31 : 31,864.13 = 31,864.13 : x
2. Step 2: Convert to fraction form
   21,340.31/31,864.13 = 31,864.13/x
3. Step 3: Cross multiply
   21,340.31x = 31,864.13 × 31,864.13
4. Step 4: Simplify right side
   21,340.31x = 1,015,322,462.02
5. Step 5: Solve for x
   x = 1,015,322,462.02/21,340.31
6. Step 6: Final answer
   x = 47,577.68