Finding the Third Proportional to 17,880 and 38,134.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,880 : 38,134.50 = 38,134.50 : x
2. Step 2: Convert to fraction form
   17,880/38,134.50 = 38,134.50/x
3. Step 3: Cross multiply
   17,880x = 38,134.50 × 38,134.50
4. Step 4: Simplify right side
   17,880x = 1,454,240,090.25
5. Step 5: Solve for x
   x = 1,454,240,090.25/17,880
6. Step 6: Final answer
   x = 81,333.34