Finding the Third Proportional to 38,977.88 and 83,916

Step by Step Solution

1. Step 1: Write the proportion equation
   38,977.88 : 83,916 = 83,916 : x
2. Step 2: Convert to fraction form
   38,977.88/83,916 = 83,916/x
3. Step 3: Cross multiply
   38,977.88x = 83,916 × 83,916
4. Step 4: Simplify right side
   38,977.88x = 7,041,895,056
5. Step 5: Solve for x
   x = 7,041,895,056/38,977.88
6. Step 6: Final answer
   x = 180,663.90