Finding the Third Proportional to 37,718.16 and 78,535.83

Step by Step Solution

1. Step 1: Write the proportion equation
   37,718.16 : 78,535.83 = 78,535.83 : x
2. Step 2: Convert to fraction form
   37,718.16/78,535.83 = 78,535.83/x
3. Step 3: Cross multiply
   37,718.16x = 78,535.83 × 78,535.83
4. Step 4: Simplify right side
   37,718.16x = 6,167,876,299.28
5. Step 5: Solve for x
   x = 6,167,876,299.28/37,718.16
6. Step 6: Final answer
   x = 163,525.39