Finding the Third Proportional to 29,101.50 and 38,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,101.50 : 38,371.50 = 38,371.50 : x
2. Step 2: Convert to fraction form
   29,101.50/38,371.50 = 38,371.50/x
3. Step 3: Cross multiply
   29,101.50x = 38,371.50 × 38,371.50
4. Step 4: Simplify right side
   29,101.50x = 1,472,372,012.25
5. Step 5: Solve for x
   x = 1,472,372,012.25/29,101.50
6. Step 6: Final answer
   x = 50,594.37