Finding the Third Proportional to 37,494 and 78,453

Step by Step Solution

1. Step 1: Write the proportion equation
   37,494 : 78,453 = 78,453 : x
2. Step 2: Convert to fraction form
   37,494/78,453 = 78,453/x
3. Step 3: Cross multiply
   37,494x = 78,453 × 78,453
4. Step 4: Simplify right side
   37,494x = 6,154,873,209
5. Step 5: Solve for x
   x = 6,154,873,209/37,494
6. Step 6: Final answer
   x = 164,156.22