Finding the Third Proportional to 25,146 and 37,776

Step by Step Solution

1. Step 1: Write the proportion equation
   25,146 : 37,776 = 37,776 : x
2. Step 2: Convert to fraction form
   25,146/37,776 = 37,776/x
3. Step 3: Cross multiply
   25,146x = 37,776 × 37,776
4. Step 4: Simplify right side
   25,146x = 1,427,026,176
5. Step 5: Solve for x
   x = 1,427,026,176/25,146
6. Step 6: Final answer
   x = 56,749.63