Finding the Third Proportional to 30,645 and 65,070

Step by Step Solution

1. Step 1: Write the proportion equation
   30,645 : 65,070 = 65,070 : x
2. Step 2: Convert to fraction form
   30,645/65,070 = 65,070/x
3. Step 3: Cross multiply
   30,645x = 65,070 × 65,070
4. Step 4: Simplify right side
   30,645x = 4,234,104,900
5. Step 5: Solve for x
   x = 4,234,104,900/30,645
6. Step 6: Final answer
   x = 138,166.26