Finding the Third Proportional to 17,882 and 38,750.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,882 : 38,750.50 = 38,750.50 : x
2. Step 2: Convert to fraction form
   17,882/38,750.50 = 38,750.50/x
3. Step 3: Cross multiply
   17,882x = 38,750.50 × 38,750.50
4. Step 4: Simplify right side
   17,882x = 1,501,601,250.25
5. Step 5: Solve for x
   x = 1,501,601,250.25/17,882
6. Step 6: Final answer
   x = 83,972.78