Finding the Third Proportional to 37,606 and 56,417

Step by Step Solution

1. Step 1: Write the proportion equation
   37,606 : 56,417 = 56,417 : x
2. Step 2: Convert to fraction form
   37,606/56,417 = 56,417/x
3. Step 3: Cross multiply
   37,606x = 56,417 × 56,417
4. Step 4: Simplify right side
   37,606x = 3,182,877,889
5. Step 5: Solve for x
   x = 3,182,877,889/37,606
6. Step 6: Final answer
   x = 84,637.50