Finding the Third Proportional to 40,507.50 and 84,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,507.50 : 84,241.50 = 84,241.50 : x
2. Step 2: Convert to fraction form
   40,507.50/84,241.50 = 84,241.50/x
3. Step 3: Cross multiply
   40,507.50x = 84,241.50 × 84,241.50
4. Step 4: Simplify right side
   40,507.50x = 7,096,630,322.25
5. Step 5: Solve for x
   x = 7,096,630,322.25/40,507.50
6. Step 6: Final answer
   x = 175,193.00