Finding the Third Proportional to 36,812 and 58,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,812 : 58,384.50 = 58,384.50 : x
2. Step 2: Convert to fraction form
   36,812/58,384.50 = 58,384.50/x
3. Step 3: Cross multiply
   36,812x = 58,384.50 × 58,384.50
4. Step 4: Simplify right side
   36,812x = 3,408,749,840.25
5. Step 5: Solve for x
   x = 3,408,749,840.25/36,812
6. Step 6: Final answer
   x = 92,598.88