Finding the Third Proportional to 17,946 and 38,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,946 : 38,761.50 = 38,761.50 : x
2. Step 2: Convert to fraction form
   17,946/38,761.50 = 38,761.50/x
3. Step 3: Cross multiply
   17,946x = 38,761.50 × 38,761.50
4. Step 4: Simplify right side
   17,946x = 1,502,453,882.25
5. Step 5: Solve for x
   x = 1,502,453,882.25/17,946
6. Step 6: Final answer
   x = 83,720.82