Finding the Third Proportional to 71,784 and 100,591

Step by Step Solution

1. Step 1: Write the proportion equation
   71,784 : 100,591 = 100,591 : x
2. Step 2: Convert to fraction form
   71,784/100,591 = 100,591/x
3. Step 3: Cross multiply
   71,784x = 100,591 × 100,591
4. Step 4: Simplify right side
   71,784x = 10,118,549,281
5. Step 5: Solve for x
   x = 10,118,549,281/71,784
6. Step 6: Final answer
   x = 140,958.28