Finding the Third Proportional to 37,953.56 and 82,460.53

Step by Step Solution

1. Step 1: Write the proportion equation
   37,953.56 : 82,460.53 = 82,460.53 : x
2. Step 2: Convert to fraction form
   37,953.56/82,460.53 = 82,460.53/x
3. Step 3: Cross multiply
   37,953.56x = 82,460.53 × 82,460.53
4. Step 4: Simplify right side
   37,953.56x = 6,799,739,214.03
5. Step 5: Solve for x
   x = 6,799,739,214.03/37,953.56
6. Step 6: Final answer
   x = 179,159.45