Finding the Third Proportional to 1,834 and 1,991.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,834 : 1,991.50 = 1,991.50 : x
2. Step 2: Convert to fraction form
   1,834/1,991.50 = 1,991.50/x
3. Step 3: Cross multiply
   1,834x = 1,991.50 × 1,991.50
4. Step 4: Simplify right side
   1,834x = 3,966,072.25
5. Step 5: Solve for x
   x = 3,966,072.25/1,834
6. Step 6: Final answer
   x = 2,162.53