Finding the Third Proportional to 32,830 and 47,810

Step by Step Solution

1. Step 1: Write the proportion equation
   32,830 : 47,810 = 47,810 : x
2. Step 2: Convert to fraction form
   32,830/47,810 = 47,810/x
3. Step 3: Cross multiply
   32,830x = 47,810 × 47,810
4. Step 4: Simplify right side
   32,830x = 2,285,796,100
5. Step 5: Solve for x
   x = 2,285,796,100/32,830
6. Step 6: Final answer
   x = 69,625.22