Finding the Third Proportional to 34,970 and 53,783

Step by Step Solution

1. Step 1: Write the proportion equation
   34,970 : 53,783 = 53,783 : x
2. Step 2: Convert to fraction form
   34,970/53,783 = 53,783/x
3. Step 3: Cross multiply
   34,970x = 53,783 × 53,783
4. Step 4: Simplify right side
   34,970x = 2,892,611,089
5. Step 5: Solve for x
   x = 2,892,611,089/34,970
6. Step 6: Final answer
   x = 82,716.93