Finding the Third Proportional to 17,625 and 38,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,625 : 38,153.50 = 38,153.50 : x
2. Step 2: Convert to fraction form
   17,625/38,153.50 = 38,153.50/x
3. Step 3: Cross multiply
   17,625x = 38,153.50 × 38,153.50
4. Step 4: Simplify right side
   17,625x = 1,455,689,562.25
5. Step 5: Solve for x
   x = 1,455,689,562.25/17,625
6. Step 6: Final answer
   x = 82,592.32