Finding the Third Proportional to 37,337.63 and 80,616.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,337.63 : 80,616.75 = 80,616.75 : x
2. Step 2: Convert to fraction form
   37,337.63/80,616.75 = 80,616.75/x
3. Step 3: Cross multiply
   37,337.63x = 80,616.75 × 80,616.75
4. Step 4: Simplify right side
   37,337.63x = 6,499,060,380.56
5. Step 5: Solve for x
   x = 6,499,060,380.56/37,337.63
6. Step 6: Final answer
   x = 174,061.97