Finding the Third Proportional to 1,564.88 and 2,345.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.88 : 2,345.63 = 2,345.63 : x
2. Step 2: Convert to fraction form
   1,564.88/2,345.63 = 2,345.63/x
3. Step 3: Cross multiply
   1,564.88x = 2,345.63 × 2,345.63
4. Step 4: Simplify right side
   1,564.88x = 5,501,956.64
5. Step 5: Solve for x
   x = 5,501,956.64/1,564.88
6. Step 6: Final answer
   x = 3,515.91