Finding the Third Proportional to 37,970 and 56,745

Step by Step Solution

1. Step 1: Write the proportion equation
   37,970 : 56,745 = 56,745 : x
2. Step 2: Convert to fraction form
   37,970/56,745 = 56,745/x
3. Step 3: Cross multiply
   37,970x = 56,745 × 56,745
4. Step 4: Simplify right side
   37,970x = 3,219,995,025
5. Step 5: Solve for x
   x = 3,219,995,025/37,970
6. Step 6: Final answer
   x = 84,803.66