Finding the Third Proportional to 31,384.13 and 47,145.38

Step by Step Solution

1. Step 1: Write the proportion equation
   31,384.13 : 47,145.38 = 47,145.38 : x
2. Step 2: Convert to fraction form
   31,384.13/47,145.38 = 47,145.38/x
3. Step 3: Cross multiply
   31,384.13x = 47,145.38 × 47,145.38
4. Step 4: Simplify right side
   31,384.13x = 2,222,686,383.89
5. Step 5: Solve for x
   x = 2,222,686,383.89/31,384.13
6. Step 6: Final answer
   x = 70,822.00