Finding the Third Proportional to 65,938 and 76,630

Step by Step Solution

1. Step 1: Write the proportion equation
   65,938 : 76,630 = 76,630 : x
2. Step 2: Convert to fraction form
   65,938/76,630 = 76,630/x
3. Step 3: Cross multiply
   65,938x = 76,630 × 76,630
4. Step 4: Simplify right side
   65,938x = 5,872,156,900
5. Step 5: Solve for x
   x = 5,872,156,900/65,938
6. Step 6: Final answer
   x = 89,055.73