Finding the Third Proportional to 31,175 and 47,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,175 : 47,090.50 = 47,090.50 : x
2. Step 2: Convert to fraction form
   31,175/47,090.50 = 47,090.50/x
3. Step 3: Cross multiply
   31,175x = 47,090.50 × 47,090.50
4. Step 4: Simplify right side
   31,175x = 2,217,515,190.25
5. Step 5: Solve for x
   x = 2,217,515,190.25/31,175
6. Step 6: Final answer
   x = 71,131.20