Finding the Third Proportional to 9,730 and 20,152

Step by Step Solution

1. Step 1: Write the proportion equation
   9,730 : 20,152 = 20,152 : x
2. Step 2: Convert to fraction form
   9,730/20,152 = 20,152/x
3. Step 3: Cross multiply
   9,730x = 20,152 × 20,152
4. Step 4: Simplify right side
   9,730x = 406,103,104
5. Step 5: Solve for x
   x = 406,103,104/9,730
6. Step 6: Final answer
   x = 41,737.22