Finding the Third Proportional to 52,213.50 and 79,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,213.50 : 79,546.50 = 79,546.50 : x
2. Step 2: Convert to fraction form
   52,213.50/79,546.50 = 79,546.50/x
3. Step 3: Cross multiply
   52,213.50x = 79,546.50 × 79,546.50
4. Step 4: Simplify right side
   52,213.50x = 6,327,645,662.25
5. Step 5: Solve for x
   x = 6,327,645,662.25/52,213.50
6. Step 6: Final answer
   x = 121,187.92