Finding the Third Proportional to 37,629 and 56,762

Step by Step Solution

1. Step 1: Write the proportion equation
   37,629 : 56,762 = 56,762 : x
2. Step 2: Convert to fraction form
   37,629/56,762 = 56,762/x
3. Step 3: Cross multiply
   37,629x = 56,762 × 56,762
4. Step 4: Simplify right side
   37,629x = 3,221,924,644
5. Step 5: Solve for x
   x = 3,221,924,644/37,629
6. Step 6: Final answer
   x = 85,623.45