Finding the Third Proportional to 31,253 and 67,840

Step by Step Solution

1. Step 1: Write the proportion equation
   31,253 : 67,840 = 67,840 : x
2. Step 2: Convert to fraction form
   31,253/67,840 = 67,840/x
3. Step 3: Cross multiply
   31,253x = 67,840 × 67,840
4. Step 4: Simplify right side
   31,253x = 4,602,265,600
5. Step 5: Solve for x
   x = 4,602,265,600/31,253
6. Step 6: Final answer
   x = 147,258.36