Finding the Third Proportional to 5,092.98 and 7,870.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,092.98 : 7,870.13 = 7,870.13 : x
2. Step 2: Convert to fraction form
   5,092.98/7,870.13 = 7,870.13/x
3. Step 3: Cross multiply
   5,092.98x = 7,870.13 × 7,870.13
4. Step 4: Simplify right side
   5,092.98x = 61,938,959.74
5. Step 5: Solve for x
   x = 61,938,959.74/5,092.98
6. Step 6: Final answer
   x = 12,161.63