Finding the Third Proportional to 37,646.81 and 50,189.06

Step by Step Solution

1. Step 1: Write the proportion equation
   37,646.81 : 50,189.06 = 50,189.06 : x
2. Step 2: Convert to fraction form
   37,646.81/50,189.06 = 50,189.06/x
3. Step 3: Cross multiply
   37,646.81x = 50,189.06 × 50,189.06
4. Step 4: Simplify right side
   37,646.81x = 2,518,941,994.63
5. Step 5: Solve for x
   x = 2,518,941,994.63/37,646.81
6. Step 6: Final answer
   x = 66,909.83