Finding the Third Proportional to 37,602 and 81,688.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,602 : 81,688.13 = 81,688.13 : x
2. Step 2: Convert to fraction form
   37,602/81,688.13 = 81,688.13/x
3. Step 3: Cross multiply
   37,602x = 81,688.13 × 81,688.13
4. Step 4: Simplify right side
   37,602x = 6,672,949,766.02
5. Step 5: Solve for x
   x = 6,672,949,766.02/37,602
6. Step 6: Final answer
   x = 177,462.63