Finding the Third Proportional to 71,553 and 105,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,553 : 105,142.50 = 105,142.50 : x
2. Step 2: Convert to fraction form
   71,553/105,142.50 = 105,142.50/x
3. Step 3: Cross multiply
   71,553x = 105,142.50 × 105,142.50
4. Step 4: Simplify right side
   71,553x = 11,054,945,306.25
5. Step 5: Solve for x
   x = 11,054,945,306.25/71,553
6. Step 6: Final answer
   x = 154,500.10