Finding the Third Proportional to 31,312 and 37,808

Step by Step Solution

1. Step 1: Write the proportion equation
   31,312 : 37,808 = 37,808 : x
2. Step 2: Convert to fraction form
   31,312/37,808 = 37,808/x
3. Step 3: Cross multiply
   31,312x = 37,808 × 37,808
4. Step 4: Simplify right side
   31,312x = 1,429,444,864
5. Step 5: Solve for x
   x = 1,429,444,864/31,312
6. Step 6: Final answer
   x = 45,651.66