Finding the Third Proportional to 1,014.61 and 1,924.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.61 : 1,924.17 = 1,924.17 : x
2. Step 2: Convert to fraction form
   1,014.61/1,924.17 = 1,924.17/x
3. Step 3: Cross multiply
   1,014.61x = 1,924.17 × 1,924.17
4. Step 4: Simplify right side
   1,014.61x = 3,702,437.40
5. Step 5: Solve for x
   x = 3,702,437.40/1,014.61
6. Step 6: Final answer
   x = 3,649.13