Finding the Third Proportional to 13,785.75 and 21,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,785.75 : 21,820.50 = 21,820.50 : x
2. Step 2: Convert to fraction form
   13,785.75/21,820.50 = 21,820.50/x
3. Step 3: Cross multiply
   13,785.75x = 21,820.50 × 21,820.50
4. Step 4: Simplify right side
   13,785.75x = 476,134,220.25
5. Step 5: Solve for x
   x = 476,134,220.25/13,785.75
6. Step 6: Final answer
   x = 34,538.14