Finding the Third Proportional to 9,782 and 23,070

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782 : 23,070 = 23,070 : x
2. Step 2: Convert to fraction form
   9,782/23,070 = 23,070/x
3. Step 3: Cross multiply
   9,782x = 23,070 × 23,070
4. Step 4: Simplify right side
   9,782x = 532,224,900
5. Step 5: Solve for x
   x = 532,224,900/9,782
6. Step 6: Final answer
   x = 54,408.60