Finding the Third Proportional to 7,858 and 17,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,858 : 17,079.50 = 17,079.50 : x
2. Step 2: Convert to fraction form
   7,858/17,079.50 = 17,079.50/x
3. Step 3: Cross multiply
   7,858x = 17,079.50 × 17,079.50
4. Step 4: Simplify right side
   7,858x = 291,709,320.25
5. Step 5: Solve for x
   x = 291,709,320.25/7,858
6. Step 6: Final answer
   x = 37,122.59