Finding the Third Proportional to 19,513 and 31,047

Step by Step Solution

1. Step 1: Write the proportion equation
   19,513 : 31,047 = 31,047 : x
2. Step 2: Convert to fraction form
   19,513/31,047 = 31,047/x
3. Step 3: Cross multiply
   19,513x = 31,047 × 31,047
4. Step 4: Simplify right side
   19,513x = 963,916,209
5. Step 5: Solve for x
   x = 963,916,209/19,513
6. Step 6: Final answer
   x = 49,398.67