Finding the Third Proportional to 7,029 and 10,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,029 : 10,153.50 = 10,153.50 : x
2. Step 2: Convert to fraction form
   7,029/10,153.50 = 10,153.50/x
3. Step 3: Cross multiply
   7,029x = 10,153.50 × 10,153.50
4. Step 4: Simplify right side
   7,029x = 103,093,562.25
5. Step 5: Solve for x
   x = 103,093,562.25/7,029
6. Step 6: Final answer
   x = 14,666.89