Finding the Third Proportional to 37,344 and 56,798

Step by Step Solution

1. Step 1: Write the proportion equation
   37,344 : 56,798 = 56,798 : x
2. Step 2: Convert to fraction form
   37,344/56,798 = 56,798/x
3. Step 3: Cross multiply
   37,344x = 56,798 × 56,798
4. Step 4: Simplify right side
   37,344x = 3,226,012,804
5. Step 5: Solve for x
   x = 3,226,012,804/37,344
6. Step 6: Final answer
   x = 86,386.38