Finding the Third Proportional to 37,994 and 78,414

Step by Step Solution

1. Step 1: Write the proportion equation
   37,994 : 78,414 = 78,414 : x
2. Step 2: Convert to fraction form
   37,994/78,414 = 78,414/x
3. Step 3: Cross multiply
   37,994x = 78,414 × 78,414
4. Step 4: Simplify right side
   37,994x = 6,148,755,396
5. Step 5: Solve for x
   x = 6,148,755,396/37,994
6. Step 6: Final answer
   x = 161,834.91