Finding the Third Proportional to 1,638,000 and 3,513,168

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638,000 : 3,513,168 = 3,513,168 : x
2. Step 2: Convert to fraction form
   1,638,000/3,513,168 = 3,513,168/x
3. Step 3: Cross multiply
   1,638,000x = 3,513,168 × 3,513,168
4. Step 4: Simplify right side
   1,638,000x = 12,342,349,396,224
5. Step 5: Solve for x
   x = 12,342,349,396,224/1,638,000
6. Step 6: Final answer
   x = 7,535,011.84