Finding the Third Proportional to 51,697.50 and 79,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,697.50 : 79,792.50 = 79,792.50 : x
2. Step 2: Convert to fraction form
   51,697.50/79,792.50 = 79,792.50/x
3. Step 3: Cross multiply
   51,697.50x = 79,792.50 × 79,792.50
4. Step 4: Simplify right side
   51,697.50x = 6,366,843,056.25
5. Step 5: Solve for x
   x = 6,366,843,056.25/51,697.50
6. Step 6: Final answer
   x = 123,155.72