Finding the Third Proportional to 31,189 and 45,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,189 : 45,145.50 = 45,145.50 : x
2. Step 2: Convert to fraction form
   31,189/45,145.50 = 45,145.50/x
3. Step 3: Cross multiply
   31,189x = 45,145.50 × 45,145.50
4. Step 4: Simplify right side
   31,189x = 2,038,116,170.25
5. Step 5: Solve for x
   x = 2,038,116,170.25/31,189
6. Step 6: Final answer
   x = 65,347.28