Finding the Third Proportional to 1,686,390 and 3,680,964

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686,390 : 3,680,964 = 3,680,964 : x
2. Step 2: Convert to fraction form
   1,686,390/3,680,964 = 3,680,964/x
3. Step 3: Cross multiply
   1,686,390x = 3,680,964 × 3,680,964
4. Step 4: Simplify right side
   1,686,390x = 13,549,495,969,296
5. Step 5: Solve for x
   x = 13,549,495,969,296/1,686,390
6. Step 6: Final answer
   x = 8,034,615.94