Finding the Third Proportional to 866.50 and 2,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   866.50 : 2,045.50 = 2,045.50 : x
2. Step 2: Convert to fraction form
   866.50/2,045.50 = 2,045.50/x
3. Step 3: Cross multiply
   866.50x = 2,045.50 × 2,045.50
4. Step 4: Simplify right side
   866.50x = 4,184,070.25
5. Step 5: Solve for x
   x = 4,184,070.25/866.50
6. Step 6: Final answer
   x = 4,828.70