Finding the Third Proportional to 1,877.63 and 4,396.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,877.63 : 4,396.50 = 4,396.50 : x
2. Step 2: Convert to fraction form
   1,877.63/4,396.50 = 4,396.50/x
3. Step 3: Cross multiply
   1,877.63x = 4,396.50 × 4,396.50
4. Step 4: Simplify right side
   1,877.63x = 19,329,212.25
5. Step 5: Solve for x
   x = 19,329,212.25/1,877.63
6. Step 6: Final answer
   x = 10,294.50