Finding the Third Proportional to 51,390 and 77,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,390 : 77,086.50 = 77,086.50 : x
2. Step 2: Convert to fraction form
   51,390/77,086.50 = 77,086.50/x
3. Step 3: Cross multiply
   51,390x = 77,086.50 × 77,086.50
4. Step 4: Simplify right side
   51,390x = 5,942,328,482.25
5. Step 5: Solve for x
   x = 5,942,328,482.25/51,390
6. Step 6: Final answer
   x = 115,632.00