Finding the Third Proportional to 1,564,000 and 2,417,822

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564,000 : 2,417,822 = 2,417,822 : x
2. Step 2: Convert to fraction form
   1,564,000/2,417,822 = 2,417,822/x
3. Step 3: Cross multiply
   1,564,000x = 2,417,822 × 2,417,822
4. Step 4: Simplify right side
   1,564,000x = 5,845,863,223,684
5. Step 5: Solve for x
   x = 5,845,863,223,684/1,564,000
6. Step 6: Final answer
   x = 3,737,764.21