Finding the Third Proportional to 17,830.13 and 38,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,830.13 : 38,272.50 = 38,272.50 : x
2. Step 2: Convert to fraction form
   17,830.13/38,272.50 = 38,272.50/x
3. Step 3: Cross multiply
   17,830.13x = 38,272.50 × 38,272.50
4. Step 4: Simplify right side
   17,830.13x = 1,464,784,256.25
5. Step 5: Solve for x
   x = 1,464,784,256.25/17,830.13
6. Step 6: Final answer
   x = 82,152.21