Finding the Third Proportional to 40,624 and 62,778

Step by Step Solution

1. Step 1: Write the proportion equation
   40,624 : 62,778 = 62,778 : x
2. Step 2: Convert to fraction form
   40,624/62,778 = 62,778/x
3. Step 3: Cross multiply
   40,624x = 62,778 × 62,778
4. Step 4: Simplify right side
   40,624x = 3,941,077,284
5. Step 5: Solve for x
   x = 3,941,077,284/40,624
6. Step 6: Final answer
   x = 97,013.52