Finding the Third Proportional to 5,139 and 8,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,139 : 8,032.50 = 8,032.50 : x
2. Step 2: Convert to fraction form
   5,139/8,032.50 = 8,032.50/x
3. Step 3: Cross multiply
   5,139x = 8,032.50 × 8,032.50
4. Step 4: Simplify right side
   5,139x = 64,521,056.25
5. Step 5: Solve for x
   x = 64,521,056.25/5,139
6. Step 6: Final answer
   x = 12,555.18