Finding the Third Proportional to 37,431 and 56,142

Step by Step Solution

1. Step 1: Write the proportion equation
   37,431 : 56,142 = 56,142 : x
2. Step 2: Convert to fraction form
   37,431/56,142 = 56,142/x
3. Step 3: Cross multiply
   37,431x = 56,142 × 56,142
4. Step 4: Simplify right side
   37,431x = 3,151,924,164
5. Step 5: Solve for x
   x = 3,151,924,164/37,431
6. Step 6: Final answer
   x = 84,206.25