Finding the Third Proportional to 1,889.86 and 2,931.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,889.86 : 2,931.61 = 2,931.61 : x
2. Step 2: Convert to fraction form
   1,889.86/2,931.61 = 2,931.61/x
3. Step 3: Cross multiply
   1,889.86x = 2,931.61 × 2,931.61
4. Step 4: Simplify right side
   1,889.86x = 8,594,333.53
5. Step 5: Solve for x
   x = 8,594,333.53/1,889.86
6. Step 6: Final answer
   x = 4,547.60