Finding the Third Proportional to 37,506 and 80,034

Step by Step Solution

1. Step 1: Write the proportion equation
   37,506 : 80,034 = 80,034 : x
2. Step 2: Convert to fraction form
   37,506/80,034 = 80,034/x
3. Step 3: Cross multiply
   37,506x = 80,034 × 80,034
4. Step 4: Simplify right side
   37,506x = 6,405,441,156
5. Step 5: Solve for x
   x = 6,405,441,156/37,506
6. Step 6: Final answer
   x = 170,784.44