Finding the Third Proportional to 36,402 and 79,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,402 : 79,591.50 = 79,591.50 : x
2. Step 2: Convert to fraction form
   36,402/79,591.50 = 79,591.50/x
3. Step 3: Cross multiply
   36,402x = 79,591.50 × 79,591.50
4. Step 4: Simplify right side
   36,402x = 6,334,806,872.25
5. Step 5: Solve for x
   x = 6,334,806,872.25/36,402
6. Step 6: Final answer
   x = 174,023.59