Finding the Third Proportional to 37,978.88 and 56,657.81

Step by Step Solution

1. Step 1: Write the proportion equation
   37,978.88 : 56,657.81 = 56,657.81 : x
2. Step 2: Convert to fraction form
   37,978.88/56,657.81 = 56,657.81/x
3. Step 3: Cross multiply
   37,978.88x = 56,657.81 × 56,657.81
4. Step 4: Simplify right side
   37,978.88x = 3,210,107,717.29
5. Step 5: Solve for x
   x = 3,210,107,717.29/37,978.88
6. Step 6: Final answer
   x = 84,523.51