Finding the Third Proportional to 31,050 and 47,784.38

Step by Step Solution

1. Step 1: Write the proportion equation
   31,050 : 47,784.38 = 47,784.38 : x
2. Step 2: Convert to fraction form
   31,050/47,784.38 = 47,784.38/x
3. Step 3: Cross multiply
   31,050x = 47,784.38 × 47,784.38
4. Step 4: Simplify right side
   31,050x = 2,283,346,494.14
5. Step 5: Solve for x
   x = 2,283,346,494.14/31,050
6. Step 6: Final answer
   x = 73,537.73