Finding the Third Proportional to 6,139.13 and 7,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,139.13 : 7,492.50 = 7,492.50 : x
2. Step 2: Convert to fraction form
   6,139.13/7,492.50 = 7,492.50/x
3. Step 3: Cross multiply
   6,139.13x = 7,492.50 × 7,492.50
4. Step 4: Simplify right side
   6,139.13x = 56,137,556.25
5. Step 5: Solve for x
   x = 56,137,556.25/6,139.13
6. Step 6: Final answer
   x = 9,144.23