Finding the Third Proportional to 37,906 and 59,464

Step by Step Solution

1. Step 1: Write the proportion equation
   37,906 : 59,464 = 59,464 : x
2. Step 2: Convert to fraction form
   37,906/59,464 = 59,464/x
3. Step 3: Cross multiply
   37,906x = 59,464 × 59,464
4. Step 4: Simplify right side
   37,906x = 3,535,967,296
5. Step 5: Solve for x
   x = 3,535,967,296/37,906
6. Step 6: Final answer
   x = 93,282.52