Finding the Third Proportional to 5,130 and 5,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,130 : 5,881.50 = 5,881.50 : x
2. Step 2: Convert to fraction form
   5,130/5,881.50 = 5,881.50/x
3. Step 3: Cross multiply
   5,130x = 5,881.50 × 5,881.50
4. Step 4: Simplify right side
   5,130x = 34,592,042.25
5. Step 5: Solve for x
   x = 34,592,042.25/5,130
6. Step 6: Final answer
   x = 6,743.09