Finding the Third Proportional to 31,185 and 40,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,185 : 40,459.50 = 40,459.50 : x
2. Step 2: Convert to fraction form
   31,185/40,459.50 = 40,459.50/x
3. Step 3: Cross multiply
   31,185x = 40,459.50 × 40,459.50
4. Step 4: Simplify right side
   31,185x = 1,636,971,140.25
5. Step 5: Solve for x
   x = 1,636,971,140.25/31,185
6. Step 6: Final answer
   x = 52,492.26