Finding the Third Proportional to 38,309 and 59,466

Step by Step Solution

1. Step 1: Write the proportion equation
   38,309 : 59,466 = 59,466 : x
2. Step 2: Convert to fraction form
   38,309/59,466 = 59,466/x
3. Step 3: Cross multiply
   38,309x = 59,466 × 59,466
4. Step 4: Simplify right side
   38,309x = 3,536,205,156
5. Step 5: Solve for x
   x = 3,536,205,156/38,309
6. Step 6: Final answer
   x = 92,307.43