Finding the Third Proportional to 37,126 and 77,900

Step by Step Solution

1. Step 1: Write the proportion equation
   37,126 : 77,900 = 77,900 : x
2. Step 2: Convert to fraction form
   37,126/77,900 = 77,900/x
3. Step 3: Cross multiply
   37,126x = 77,900 × 77,900
4. Step 4: Simplify right side
   37,126x = 6,068,410,000
5. Step 5: Solve for x
   x = 6,068,410,000/37,126
6. Step 6: Final answer
   x = 163,454.45