Finding the Third Proportional to 34,947 and 51,934.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,947 : 51,934.50 = 51,934.50 : x
2. Step 2: Convert to fraction form
   34,947/51,934.50 = 51,934.50/x
3. Step 3: Cross multiply
   34,947x = 51,934.50 × 51,934.50
4. Step 4: Simplify right side
   34,947x = 2,697,192,290.25
5. Step 5: Solve for x
   x = 2,697,192,290.25/34,947
6. Step 6: Final answer
   x = 77,179.51