Finding the Third Proportional to 4,897.13 and 7,801.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,897.13 : 7,801.31 = 7,801.31 : x
2. Step 2: Convert to fraction form
   4,897.13/7,801.31 = 7,801.31/x
3. Step 3: Cross multiply
   4,897.13x = 7,801.31 × 7,801.31
4. Step 4: Simplify right side
   4,897.13x = 60,860,476.72
5. Step 5: Solve for x
   x = 60,860,476.72/4,897.13
6. Step 6: Final answer
   x = 12,427.80