Finding the Third Proportional to 17,526 and 38,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,526 : 38,008.50 = 38,008.50 : x
2. Step 2: Convert to fraction form
   17,526/38,008.50 = 38,008.50/x
3. Step 3: Cross multiply
   17,526x = 38,008.50 × 38,008.50
4. Step 4: Simplify right side
   17,526x = 1,444,646,072.25
5. Step 5: Solve for x
   x = 1,444,646,072.25/17,526
6. Step 6: Final answer
   x = 82,428.74