Finding the Third Proportional to 37,971 and 56,646

Step by Step Solution

1. Step 1: Write the proportion equation
   37,971 : 56,646 = 56,646 : x
2. Step 2: Convert to fraction form
   37,971/56,646 = 56,646/x
3. Step 3: Cross multiply
   37,971x = 56,646 × 56,646
4. Step 4: Simplify right side
   37,971x = 3,208,769,316
5. Step 5: Solve for x
   x = 3,208,769,316/37,971
6. Step 6: Final answer
   x = 84,505.79