Finding the Third Proportional to 31,577.25 and 69,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,577.25 : 69,742.50 = 69,742.50 : x
2. Step 2: Convert to fraction form
   31,577.25/69,742.50 = 69,742.50/x
3. Step 3: Cross multiply
   31,577.25x = 69,742.50 × 69,742.50
4. Step 4: Simplify right side
   31,577.25x = 4,864,016,306.25
5. Step 5: Solve for x
   x = 4,864,016,306.25/31,577.25
6. Step 6: Final answer
   x = 154,035.46