Finding the Third Proportional to 37,794 and 58,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,794 : 58,783.50 = 58,783.50 : x
2. Step 2: Convert to fraction form
   37,794/58,783.50 = 58,783.50/x
3. Step 3: Cross multiply
   37,794x = 58,783.50 × 58,783.50
4. Step 4: Simplify right side
   37,794x = 3,455,499,872.25
5. Step 5: Solve for x
   x = 3,455,499,872.25/37,794
6. Step 6: Final answer
   x = 91,429.85