Finding the Third Proportional to 5,046.25 and 7,875.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,046.25 : 7,875.88 = 7,875.88 : x
2. Step 2: Convert to fraction form
   5,046.25/7,875.88 = 7,875.88/x
3. Step 3: Cross multiply
   5,046.25x = 7,875.88 × 7,875.88
4. Step 4: Simplify right side
   5,046.25x = 62,029,407.02
5. Step 5: Solve for x
   x = 62,029,407.02/5,046.25
6. Step 6: Final answer
   x = 12,292.18