Finding the Third Proportional to 17,767.50 and 38,667.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,767.50 : 38,667.75 = 38,667.75 : x
2. Step 2: Convert to fraction form
   17,767.50/38,667.75 = 38,667.75/x
3. Step 3: Cross multiply
   17,767.50x = 38,667.75 × 38,667.75
4. Step 4: Simplify right side
   17,767.50x = 1,495,194,890.06
5. Step 5: Solve for x
   x = 1,495,194,890.06/17,767.50
6. Step 6: Final answer
   x = 84,153.36