Finding the Third Proportional to 9,997.31 and 21,877.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,997.31 : 21,877.88 = 21,877.88 : x
2. Step 2: Convert to fraction form
   9,997.31/21,877.88 = 21,877.88/x
3. Step 3: Cross multiply
   9,997.31x = 21,877.88 × 21,877.88
4. Step 4: Simplify right side
   9,997.31x = 478,641,414.52
5. Step 5: Solve for x
   x = 478,641,414.52/9,997.31
6. Step 6: Final answer
   x = 47,877.01