Finding the Third Proportional to 37,972 and 56,748

Step by Step Solution

1. Step 1: Write the proportion equation
   37,972 : 56,748 = 56,748 : x
2. Step 2: Convert to fraction form
   37,972/56,748 = 56,748/x
3. Step 3: Cross multiply
   37,972x = 56,748 × 56,748
4. Step 4: Simplify right side
   37,972x = 3,220,335,504
5. Step 5: Solve for x
   x = 3,220,335,504/37,972
6. Step 6: Final answer
   x = 84,808.16