Finding the Third Proportional to 37,964 and 52,642

Step by Step Solution

1. Step 1: Write the proportion equation
   37,964 : 52,642 = 52,642 : x
2. Step 2: Convert to fraction form
   37,964/52,642 = 52,642/x
3. Step 3: Cross multiply
   37,964x = 52,642 × 52,642
4. Step 4: Simplify right side
   37,964x = 2,771,180,164
5. Step 5: Solve for x
   x = 2,771,180,164/37,964
6. Step 6: Final answer
   x = 72,994.95