Finding the Third Proportional to 37,154 and 80,113

Step by Step Solution

1. Step 1: Write the proportion equation
   37,154 : 80,113 = 80,113 : x
2. Step 2: Convert to fraction form
   37,154/80,113 = 80,113/x
3. Step 3: Cross multiply
   37,154x = 80,113 × 80,113
4. Step 4: Simplify right side
   37,154x = 6,418,092,769
5. Step 5: Solve for x
   x = 6,418,092,769/37,154
6. Step 6: Final answer
   x = 172,742.98