Finding the Third Proportional to 56,596 and 76,590

Step by Step Solution

1. Step 1: Write the proportion equation
   56,596 : 76,590 = 76,590 : x
2. Step 2: Convert to fraction form
   56,596/76,590 = 76,590/x
3. Step 3: Cross multiply
   56,596x = 76,590 × 76,590
4. Step 4: Simplify right side
   56,596x = 5,866,028,100
5. Step 5: Solve for x
   x = 5,866,028,100/56,596
6. Step 6: Final answer
   x = 103,647.40