Finding the Third Proportional to 37,908 and 59,466

Step by Step Solution

1. Step 1: Write the proportion equation
   37,908 : 59,466 = 59,466 : x
2. Step 2: Convert to fraction form
   37,908/59,466 = 59,466/x
3. Step 3: Cross multiply
   37,908x = 59,466 × 59,466
4. Step 4: Simplify right side
   37,908x = 3,536,205,156
5. Step 5: Solve for x
   x = 3,536,205,156/37,908
6. Step 6: Final answer
   x = 93,283.88