Finding the Third Proportional to 37,717.50 and 78,535.31

Step by Step Solution

1. Step 1: Write the proportion equation
   37,717.50 : 78,535.31 = 78,535.31 : x
2. Step 2: Convert to fraction form
   37,717.50/78,535.31 = 78,535.31/x
3. Step 3: Cross multiply
   37,717.50x = 78,535.31 × 78,535.31
4. Step 4: Simplify right side
   37,717.50x = 6,167,795,309.47
5. Step 5: Solve for x
   x = 6,167,795,309.47/37,717.50
6. Step 6: Final answer
   x = 163,526.09