Finding the Third Proportional to 7,428.13 and 16,314.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,428.13 : 16,314.06 = 16,314.06 : x
2. Step 2: Convert to fraction form
   7,428.13/16,314.06 = 16,314.06/x
3. Step 3: Cross multiply
   7,428.13x = 16,314.06 × 16,314.06
4. Step 4: Simplify right side
   7,428.13x = 266,148,635.25
5. Step 5: Solve for x
   x = 266,148,635.25/7,428.13
6. Step 6: Final answer
   x = 35,829.85