Finding the Third Proportional to 3,748.50 and 5,877

Step by Step Solution

1. Step 1: Write the proportion equation
   3,748.50 : 5,877 = 5,877 : x
2. Step 2: Convert to fraction form
   3,748.50/5,877 = 5,877/x
3. Step 3: Cross multiply
   3,748.50x = 5,877 × 5,877
4. Step 4: Simplify right side
   3,748.50x = 34,539,129
5. Step 5: Solve for x
   x = 34,539,129/3,748.50
6. Step 6: Final answer
   x = 9,214.12