Finding the Third Proportional to 31,969 and 74,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,969 : 74,669.50 = 74,669.50 : x
2. Step 2: Convert to fraction form
   31,969/74,669.50 = 74,669.50/x
3. Step 3: Cross multiply
   31,969x = 74,669.50 × 74,669.50
4. Step 4: Simplify right side
   31,969x = 5,575,534,230.25
5. Step 5: Solve for x
   x = 5,575,534,230.25/31,969
6. Step 6: Final answer
   x = 174,404.40