Finding the Third Proportional to 37,888 and 59,298

Step by Step Solution

1. Step 1: Write the proportion equation
   37,888 : 59,298 = 59,298 : x
2. Step 2: Convert to fraction form
   37,888/59,298 = 59,298/x
3. Step 3: Cross multiply
   37,888x = 59,298 × 59,298
4. Step 4: Simplify right side
   37,888x = 3,516,252,804
5. Step 5: Solve for x
   x = 3,516,252,804/37,888
6. Step 6: Final answer
   x = 92,806.50