Finding the Third Proportional to 49,766 and 77,053

Step by Step Solution

1. Step 1: Write the proportion equation
   49,766 : 77,053 = 77,053 : x
2. Step 2: Convert to fraction form
   49,766/77,053 = 77,053/x
3. Step 3: Cross multiply
   49,766x = 77,053 × 77,053
4. Step 4: Simplify right side
   49,766x = 5,937,164,809
5. Step 5: Solve for x
   x = 5,937,164,809/49,766
6. Step 6: Final answer
   x = 119,301.63