Finding the Third Proportional to 37,659 and 55,336.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,659 : 55,336.50 = 55,336.50 : x
2. Step 2: Convert to fraction form
   37,659/55,336.50 = 55,336.50/x
3. Step 3: Cross multiply
   37,659x = 55,336.50 × 55,336.50
4. Step 4: Simplify right side
   37,659x = 3,062,128,232.25
5. Step 5: Solve for x
   x = 3,062,128,232.25/37,659
6. Step 6: Final answer
   x = 81,311.99