Finding the Third Proportional to 37,784.25 and 82,492.88

Step by Step Solution

1. Step 1: Write the proportion equation
   37,784.25 : 82,492.88 = 82,492.88 : x
2. Step 2: Convert to fraction form
   37,784.25/82,492.88 = 82,492.88/x
3. Step 3: Cross multiply
   37,784.25x = 82,492.88 × 82,492.88
4. Step 4: Simplify right side
   37,784.25x = 6,805,074,425.77
5. Step 5: Solve for x
   x = 6,805,074,425.77/37,784.25
6. Step 6: Final answer
   x = 180,103.47