Finding the Third Proportional to 866 and 1,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   866 : 1,837.50 = 1,837.50 : x
2. Step 2: Convert to fraction form
   866/1,837.50 = 1,837.50/x
3. Step 3: Cross multiply
   866x = 1,837.50 × 1,837.50
4. Step 4: Simplify right side
   866x = 3,376,406.25
5. Step 5: Solve for x
   x = 3,376,406.25/866
6. Step 6: Final answer
   x = 3,898.85