Finding the Third Proportional to 31,962 and 69,501

Step by Step Solution

1. Step 1: Write the proportion equation
   31,962 : 69,501 = 69,501 : x
2. Step 2: Convert to fraction form
   31,962/69,501 = 69,501/x
3. Step 3: Cross multiply
   31,962x = 69,501 × 69,501
4. Step 4: Simplify right side
   31,962x = 4,830,389,001
5. Step 5: Solve for x
   x = 4,830,389,001/31,962
6. Step 6: Final answer
   x = 151,129.12