Finding the Third Proportional to 31,537.50 and 65,994

Step by Step Solution

1. Step 1: Write the proportion equation
   31,537.50 : 65,994 = 65,994 : x
2. Step 2: Convert to fraction form
   31,537.50/65,994 = 65,994/x
3. Step 3: Cross multiply
   31,537.50x = 65,994 × 65,994
4. Step 4: Simplify right side
   31,537.50x = 4,355,208,036
5. Step 5: Solve for x
   x = 4,355,208,036/31,537.50
6. Step 6: Final answer
   x = 138,096.17