Finding the Third Proportional to 36,384 and 57,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,384 : 57,856.50 = 57,856.50 : x
2. Step 2: Convert to fraction form
   36,384/57,856.50 = 57,856.50/x
3. Step 3: Cross multiply
   36,384x = 57,856.50 × 57,856.50
4. Step 4: Simplify right side
   36,384x = 3,347,374,592.25
5. Step 5: Solve for x
   x = 3,347,374,592.25/36,384
6. Step 6: Final answer
   x = 92,001.28