Finding the Third Proportional to 37,971 and 56,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,971 : 56,956.50 = 56,956.50 : x
2. Step 2: Convert to fraction form
   37,971/56,956.50 = 56,956.50/x
3. Step 3: Cross multiply
   37,971x = 56,956.50 × 56,956.50
4. Step 4: Simplify right side
   37,971x = 3,244,042,892.25
5. Step 5: Solve for x
   x = 3,244,042,892.25/37,971
6. Step 6: Final answer
   x = 85,434.75