Finding the Third Proportional to 31,875 and 68,088

Step by Step Solution

1. Step 1: Write the proportion equation
   31,875 : 68,088 = 68,088 : x
2. Step 2: Convert to fraction form
   31,875/68,088 = 68,088/x
3. Step 3: Cross multiply
   31,875x = 68,088 × 68,088
4. Step 4: Simplify right side
   31,875x = 4,635,975,744
5. Step 5: Solve for x
   x = 4,635,975,744/31,875
6. Step 6: Final answer
   x = 145,442.38