Finding the Third Proportional to 37,829.53 and 83,005.88

Step by Step Solution

1. Step 1: Write the proportion equation
   37,829.53 : 83,005.88 = 83,005.88 : x
2. Step 2: Convert to fraction form
   37,829.53/83,005.88 = 83,005.88/x
3. Step 3: Cross multiply
   37,829.53x = 83,005.88 × 83,005.88
4. Step 4: Simplify right side
   37,829.53x = 6,889,975,284.52
5. Step 5: Solve for x
   x = 6,889,975,284.52/37,829.53
6. Step 6: Final answer
   x = 182,132.19