Finding the Third Proportional to 53,865 and 71,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,865 : 71,077.50 = 71,077.50 : x
2. Step 2: Convert to fraction form
   53,865/71,077.50 = 71,077.50/x
3. Step 3: Cross multiply
   53,865x = 71,077.50 × 71,077.50
4. Step 4: Simplify right side
   53,865x = 5,052,011,006.25
5. Step 5: Solve for x
   x = 5,052,011,006.25/53,865
6. Step 6: Final answer
   x = 93,790.23