Finding the Third Proportional to 37,697.91 and 78,496.59

Step by Step Solution

1. Step 1: Write the proportion equation
   37,697.91 : 78,496.59 = 78,496.59 : x
2. Step 2: Convert to fraction form
   37,697.91/78,496.59 = 78,496.59/x
3. Step 3: Cross multiply
   37,697.91x = 78,496.59 × 78,496.59
4. Step 4: Simplify right side
   37,697.91x = 6,161,715,230.35
5. Step 5: Solve for x
   x = 6,161,715,230.35/37,697.91
6. Step 6: Final answer
   x = 163,449.80