Finding the Third Proportional to 39,783 and 85,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,783 : 85,792.50 = 85,792.50 : x
2. Step 2: Convert to fraction form
   39,783/85,792.50 = 85,792.50/x
3. Step 3: Cross multiply
   39,783x = 85,792.50 × 85,792.50
4. Step 4: Simplify right side
   39,783x = 7,360,353,056.25
5. Step 5: Solve for x
   x = 7,360,353,056.25/39,783
6. Step 6: Final answer
   x = 185,012.52