Finding the Third Proportional to 37,688 and 74,428

Step by Step Solution

1. Step 1: Write the proportion equation
   37,688 : 74,428 = 74,428 : x
2. Step 2: Convert to fraction form
   37,688/74,428 = 74,428/x
3. Step 3: Cross multiply
   37,688x = 74,428 × 74,428
4. Step 4: Simplify right side
   37,688x = 5,539,527,184
5. Step 5: Solve for x
   x = 5,539,527,184/37,688
6. Step 6: Final answer
   x = 146,983.85