Finding the Third Proportional to 42,894 and 65,070

Step by Step Solution

1. Step 1: Write the proportion equation
   42,894 : 65,070 = 65,070 : x
2. Step 2: Convert to fraction form
   42,894/65,070 = 65,070/x
3. Step 3: Cross multiply
   42,894x = 65,070 × 65,070
4. Step 4: Simplify right side
   42,894x = 4,234,104,900
5. Step 5: Solve for x
   x = 4,234,104,900/42,894
6. Step 6: Final answer
   x = 98,710.89