Finding the Third Proportional to 31,311 and 45,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,311 : 45,814.50 = 45,814.50 : x
2. Step 2: Convert to fraction form
   31,311/45,814.50 = 45,814.50/x
3. Step 3: Cross multiply
   31,311x = 45,814.50 × 45,814.50
4. Step 4: Simplify right side
   31,311x = 2,098,968,410.25
5. Step 5: Solve for x
   x = 2,098,968,410.25/31,311
6. Step 6: Final answer
   x = 67,036.13