Finding the Third Proportional to 38,500 and 83,964

Step by Step Solution

1. Step 1: Write the proportion equation
   38,500 : 83,964 = 83,964 : x
2. Step 2: Convert to fraction form
   38,500/83,964 = 83,964/x
3. Step 3: Cross multiply
   38,500x = 83,964 × 83,964
4. Step 4: Simplify right side
   38,500x = 7,049,953,296
5. Step 5: Solve for x
   x = 7,049,953,296/38,500
6. Step 6: Final answer
   x = 183,115.67