Finding the Third Proportional to 17,772 and 38,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,772 : 38,005.50 = 38,005.50 : x
2. Step 2: Convert to fraction form
   17,772/38,005.50 = 38,005.50/x
3. Step 3: Cross multiply
   17,772x = 38,005.50 × 38,005.50
4. Step 4: Simplify right side
   17,772x = 1,444,418,030.25
5. Step 5: Solve for x
   x = 1,444,418,030.25/17,772
6. Step 6: Final answer
   x = 81,274.93