Finding the Third Proportional to 71,672.50 and 107,536

Step by Step Solution

1. Step 1: Write the proportion equation
   71,672.50 : 107,536 = 107,536 : x
2. Step 2: Convert to fraction form
   71,672.50/107,536 = 107,536/x
3. Step 3: Cross multiply
   71,672.50x = 107,536 × 107,536
4. Step 4: Simplify right side
   71,672.50x = 11,563,991,296
5. Step 5: Solve for x
   x = 11,563,991,296/71,672.50
6. Step 6: Final answer
   x = 161,344.89