Finding the Third Proportional to 24,632 and 37,776

Step by Step Solution

1. Step 1: Write the proportion equation
   24,632 : 37,776 = 37,776 : x
2. Step 2: Convert to fraction form
   24,632/37,776 = 37,776/x
3. Step 3: Cross multiply
   24,632x = 37,776 × 37,776
4. Step 4: Simplify right side
   24,632x = 1,427,026,176
5. Step 5: Solve for x
   x = 1,427,026,176/24,632
6. Step 6: Final answer
   x = 57,933.83