Finding the Third Proportional to 53,901 and 85,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,901 : 85,441.50 = 85,441.50 : x
2. Step 2: Convert to fraction form
   53,901/85,441.50 = 85,441.50/x
3. Step 3: Cross multiply
   53,901x = 85,441.50 × 85,441.50
4. Step 4: Simplify right side
   53,901x = 7,300,249,922.25
5. Step 5: Solve for x
   x = 7,300,249,922.25/53,901
6. Step 6: Final answer
   x = 135,438.12