Finding the Third Proportional to 23,654 and 37,101

Step by Step Solution

1. Step 1: Write the proportion equation
   23,654 : 37,101 = 37,101 : x
2. Step 2: Convert to fraction form
   23,654/37,101 = 37,101/x
3. Step 3: Cross multiply
   23,654x = 37,101 × 37,101
4. Step 4: Simplify right side
   23,654x = 1,376,484,201
5. Step 5: Solve for x
   x = 1,376,484,201/23,654
6. Step 6: Final answer
   x = 58,192.45