Finding the Third Proportional to 38,864.13 and 83,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,864.13 : 83,931.50 = 83,931.50 : x
2. Step 2: Convert to fraction form
   38,864.13/83,931.50 = 83,931.50/x
3. Step 3: Cross multiply
   38,864.13x = 83,931.50 × 83,931.50
4. Step 4: Simplify right side
   38,864.13x = 7,044,496,692.25
5. Step 5: Solve for x
   x = 7,044,496,692.25/38,864.13
6. Step 6: Final answer
   x = 181,259.62