Finding the Third Proportional to 31,995 and 45,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,995 : 45,697.50 = 45,697.50 : x
2. Step 2: Convert to fraction form
   31,995/45,697.50 = 45,697.50/x
3. Step 3: Cross multiply
   31,995x = 45,697.50 × 45,697.50
4. Step 4: Simplify right side
   31,995x = 2,088,261,506.25
5. Step 5: Solve for x
   x = 2,088,261,506.25/31,995
6. Step 6: Final answer
   x = 65,268.37