Finding the Third Proportional to 71,734.50 and 105,297

Step by Step Solution

1. Step 1: Write the proportion equation
   71,734.50 : 105,297 = 105,297 : x
2. Step 2: Convert to fraction form
   71,734.50/105,297 = 105,297/x
3. Step 3: Cross multiply
   71,734.50x = 105,297 × 105,297
4. Step 4: Simplify right side
   71,734.50x = 11,087,458,209
5. Step 5: Solve for x
   x = 11,087,458,209/71,734.50
6. Step 6: Final answer
   x = 154,562.42