Finding the Third Proportional to 21,138 and 31,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,138 : 31,648.50 = 31,648.50 : x
2. Step 2: Convert to fraction form
   21,138/31,648.50 = 31,648.50/x
3. Step 3: Cross multiply
   21,138x = 31,648.50 × 31,648.50
4. Step 4: Simplify right side
   21,138x = 1,001,627,552.25
5. Step 5: Solve for x
   x = 1,001,627,552.25/21,138
6. Step 6: Final answer
   x = 47,385.16