Finding the Third Proportional to 31,738 and 68,784

Step by Step Solution

1. Step 1: Write the proportion equation
   31,738 : 68,784 = 68,784 : x
2. Step 2: Convert to fraction form
   31,738/68,784 = 68,784/x
3. Step 3: Cross multiply
   31,738x = 68,784 × 68,784
4. Step 4: Simplify right side
   31,738x = 4,731,238,656
5. Step 5: Solve for x
   x = 4,731,238,656/31,738
6. Step 6: Final answer
   x = 149,071.73