Finding the Third Proportional to 34,784 and 75,940

Step by Step Solution

1. Step 1: Write the proportion equation
   34,784 : 75,940 = 75,940 : x
2. Step 2: Convert to fraction form
   34,784/75,940 = 75,940/x
3. Step 3: Cross multiply
   34,784x = 75,940 × 75,940
4. Step 4: Simplify right side
   34,784x = 5,766,883,600
5. Step 5: Solve for x
   x = 5,766,883,600/34,784
6. Step 6: Final answer
   x = 165,791.27