Finding the Third Proportional to 9,120 and 19,637

Step by Step Solution

1. Step 1: Write the proportion equation
   9,120 : 19,637 = 19,637 : x
2. Step 2: Convert to fraction form
   9,120/19,637 = 19,637/x
3. Step 3: Cross multiply
   9,120x = 19,637 × 19,637
4. Step 4: Simplify right side
   9,120x = 385,611,769
5. Step 5: Solve for x
   x = 385,611,769/9,120
6. Step 6: Final answer
   x = 42,281.99