Finding the Third Proportional to 53,830 and 77,054

Step by Step Solution

1. Step 1: Write the proportion equation
   53,830 : 77,054 = 77,054 : x
2. Step 2: Convert to fraction form
   53,830/77,054 = 77,054/x
3. Step 3: Cross multiply
   53,830x = 77,054 × 77,054
4. Step 4: Simplify right side
   53,830x = 5,937,318,916
5. Step 5: Solve for x
   x = 5,937,318,916/53,830
6. Step 6: Final answer
   x = 110,297.58