Finding the Third Proportional to 21,195 and 31,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,195 : 31,769.50 = 31,769.50 : x
2. Step 2: Convert to fraction form
   21,195/31,769.50 = 31,769.50/x
3. Step 3: Cross multiply
   21,195x = 31,769.50 × 31,769.50
4. Step 4: Simplify right side
   21,195x = 1,009,301,130.25
5. Step 5: Solve for x
   x = 1,009,301,130.25/21,195
6. Step 6: Final answer
   x = 47,619.77