Finding the Third Proportional to 19,470 and 30,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,470 : 30,502.50 = 30,502.50 : x
2. Step 2: Convert to fraction form
   19,470/30,502.50 = 30,502.50/x
3. Step 3: Cross multiply
   19,470x = 30,502.50 × 30,502.50
4. Step 4: Simplify right side
   19,470x = 930,402,506.25
5. Step 5: Solve for x
   x = 930,402,506.25/19,470
6. Step 6: Final answer
   x = 47,786.47