Finding the Third Proportional to 37,572 and 52,774

Step by Step Solution

1. Step 1: Write the proportion equation
   37,572 : 52,774 = 52,774 : x
2. Step 2: Convert to fraction form
   37,572/52,774 = 52,774/x
3. Step 3: Cross multiply
   37,572x = 52,774 × 52,774
4. Step 4: Simplify right side
   37,572x = 2,785,095,076
5. Step 5: Solve for x
   x = 2,785,095,076/37,572
6. Step 6: Final answer
   x = 74,126.88