Finding the Third Proportional to 2,564,000 and 3,713,712

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564,000 : 3,713,712 = 3,713,712 : x
2. Step 2: Convert to fraction form
   2,564,000/3,713,712 = 3,713,712/x
3. Step 3: Cross multiply
   2,564,000x = 3,713,712 × 3,713,712
4. Step 4: Simplify right side
   2,564,000x = 13,791,656,818,944
5. Step 5: Solve for x
   x = 13,791,656,818,944/2,564,000
6. Step 6: Final answer
   x = 5,378,961.32