Finding the Third Proportional to 21,169 and 31,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,169 : 31,649.50 = 31,649.50 : x
2. Step 2: Convert to fraction form
   21,169/31,649.50 = 31,649.50/x
3. Step 3: Cross multiply
   21,169x = 31,649.50 × 31,649.50
4. Step 4: Simplify right side
   21,169x = 1,001,690,850.25
5. Step 5: Solve for x
   x = 1,001,690,850.25/21,169
6. Step 6: Final answer
   x = 47,318.76