Finding the Third Proportional to 37,784.60 and 58,974.96

Step by Step Solution

1. Step 1: Write the proportion equation
   37,784.60 : 58,974.96 = 58,974.96 : x
2. Step 2: Convert to fraction form
   37,784.60/58,974.96 = 58,974.96/x
3. Step 3: Cross multiply
   37,784.60x = 58,974.96 × 58,974.96
4. Step 4: Simplify right side
   37,784.60x = 3,478,046,017.58
5. Step 5: Solve for x
   x = 3,478,046,017.58/37,784.60
6. Step 6: Final answer
   x = 92,049.30