Finding the Third Proportional to 42,924 and 89,772

Step by Step Solution

1. Step 1: Write the proportion equation
   42,924 : 89,772 = 89,772 : x
2. Step 2: Convert to fraction form
   42,924/89,772 = 89,772/x
3. Step 3: Cross multiply
   42,924x = 89,772 × 89,772
4. Step 4: Simplify right side
   42,924x = 8,059,011,984
5. Step 5: Solve for x
   x = 8,059,011,984/42,924
6. Step 6: Final answer
   x = 187,750.72