Finding the Third Proportional to 1,689,434 and 3,406,516

Step by Step Solution

1. Step 1: Write the proportion equation
   1,689,434 : 3,406,516 = 3,406,516 : x
2. Step 2: Convert to fraction form
   1,689,434/3,406,516 = 3,406,516/x
3. Step 3: Cross multiply
   1,689,434x = 3,406,516 × 3,406,516
4. Step 4: Simplify right side
   1,689,434x = 11,604,351,258,256
5. Step 5: Solve for x
   x = 11,604,351,258,256/1,689,434
6. Step 6: Final answer
   x = 6,868,780.47