Finding the Third Proportional to 31,778 and 69,090

Step by Step Solution

1. Step 1: Write the proportion equation
   31,778 : 69,090 = 69,090 : x
2. Step 2: Convert to fraction form
   31,778/69,090 = 69,090/x
3. Step 3: Cross multiply
   31,778x = 69,090 × 69,090
4. Step 4: Simplify right side
   31,778x = 4,773,428,100
5. Step 5: Solve for x
   x = 4,773,428,100/31,778
6. Step 6: Final answer
   x = 150,211.72