Finding the Third Proportional to 53,971.50 and 75,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,971.50 : 75,493.50 = 75,493.50 : x
2. Step 2: Convert to fraction form
   53,971.50/75,493.50 = 75,493.50/x
3. Step 3: Cross multiply
   53,971.50x = 75,493.50 × 75,493.50
4. Step 4: Simplify right side
   53,971.50x = 5,699,268,542.25
5. Step 5: Solve for x
   x = 5,699,268,542.25/53,971.50
6. Step 6: Final answer
   x = 105,597.74