Finding the Third Proportional to 49,770 and 77,064.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,770 : 77,064.75 = 77,064.75 : x
2. Step 2: Convert to fraction form
   49,770/77,064.75 = 77,064.75/x
3. Step 3: Cross multiply
   49,770x = 77,064.75 × 77,064.75
4. Step 4: Simplify right side
   49,770x = 5,938,975,692.56
5. Step 5: Solve for x
   x = 5,938,975,692.56/49,770
6. Step 6: Final answer
   x = 119,328.42