Finding the Third Proportional to 1,385.81 and 1,925.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.81 : 1,925.06 = 1,925.06 : x
2. Step 2: Convert to fraction form
   1,385.81/1,925.06 = 1,925.06/x
3. Step 3: Cross multiply
   1,385.81x = 1,925.06 × 1,925.06
4. Step 4: Simplify right side
   1,385.81x = 3,705,865.63
5. Step 5: Solve for x
   x = 3,705,865.63/1,385.81
6. Step 6: Final answer
   x = 2,674.15