Finding the Third Proportional to 37,091 and 82,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,091 : 82,474.50 = 82,474.50 : x
2. Step 2: Convert to fraction form
   37,091/82,474.50 = 82,474.50/x
3. Step 3: Cross multiply
   37,091x = 82,474.50 × 82,474.50
4. Step 4: Simplify right side
   37,091x = 6,802,043,150.25
5. Step 5: Solve for x
   x = 6,802,043,150.25/37,091
6. Step 6: Final answer
   x = 183,387.97