Finding the Third Proportional to 17,761 and 29,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,761 : 29,598.50 = 29,598.50 : x
2. Step 2: Convert to fraction form
   17,761/29,598.50 = 29,598.50/x
3. Step 3: Cross multiply
   17,761x = 29,598.50 × 29,598.50
4. Step 4: Simplify right side
   17,761x = 876,071,202.25
5. Step 5: Solve for x
   x = 876,071,202.25/17,761
6. Step 6: Final answer
   x = 49,325.56