Finding the Third Proportional to 42,664 and 56,613

Step by Step Solution

1. Step 1: Write the proportion equation
   42,664 : 56,613 = 56,613 : x
2. Step 2: Convert to fraction form
   42,664/56,613 = 56,613/x
3. Step 3: Cross multiply
   42,664x = 56,613 × 56,613
4. Step 4: Simplify right side
   42,664x = 3,205,031,769
5. Step 5: Solve for x
   x = 3,205,031,769/42,664
6. Step 6: Final answer
   x = 75,122.63