Finding the Third Proportional to 49,761 and 77,051.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,761 : 77,051.25 = 77,051.25 : x
2. Step 2: Convert to fraction form
   49,761/77,051.25 = 77,051.25/x
3. Step 3: Cross multiply
   49,761x = 77,051.25 × 77,051.25
4. Step 4: Simplify right side
   49,761x = 5,936,895,126.56
5. Step 5: Solve for x
   x = 5,936,895,126.56/49,761
6. Step 6: Final answer
   x = 119,308.20