Finding the Third Proportional to 53,838 and 77,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,838 : 77,065.50 = 77,065.50 : x
2. Step 2: Convert to fraction form
   53,838/77,065.50 = 77,065.50/x
3. Step 3: Cross multiply
   53,838x = 77,065.50 × 77,065.50
4. Step 4: Simplify right side
   53,838x = 5,939,091,290.25
5. Step 5: Solve for x
   x = 5,939,091,290.25/53,838
6. Step 6: Final answer
   x = 110,314.11