Finding the Third Proportional to 53,784 and 71,835.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,784 : 71,835.75 = 71,835.75 : x
2. Step 2: Convert to fraction form
   53,784/71,835.75 = 71,835.75/x
3. Step 3: Cross multiply
   53,784x = 71,835.75 × 71,835.75
4. Step 4: Simplify right side
   53,784x = 5,160,374,978.06
5. Step 5: Solve for x
   x = 5,160,374,978.06/53,784
6. Step 6: Final answer
   x = 95,946.28