Finding the Third Proportional to 37,808 and 56,344

Step by Step Solution

1. Step 1: Write the proportion equation
   37,808 : 56,344 = 56,344 : x
2. Step 2: Convert to fraction form
   37,808/56,344 = 56,344/x
3. Step 3: Cross multiply
   37,808x = 56,344 × 56,344
4. Step 4: Simplify right side
   37,808x = 3,174,646,336
5. Step 5: Solve for x
   x = 3,174,646,336/37,808
6. Step 6: Final answer
   x = 83,967.58