Finding the Third Proportional to 34,072.50 and 79,586.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,072.50 : 79,586.25 = 79,586.25 : x
2. Step 2: Convert to fraction form
   34,072.50/79,586.25 = 79,586.25/x
3. Step 3: Cross multiply
   34,072.50x = 79,586.25 × 79,586.25
4. Step 4: Simplify right side
   34,072.50x = 6,333,971,189.06
5. Step 5: Solve for x
   x = 6,333,971,189.06/34,072.50
6. Step 6: Final answer
   x = 185,896.87