Finding the Third Proportional to 37,358 and 52,034

Step by Step Solution

1. Step 1: Write the proportion equation
   37,358 : 52,034 = 52,034 : x
2. Step 2: Convert to fraction form
   37,358/52,034 = 52,034/x
3. Step 3: Cross multiply
   37,358x = 52,034 × 52,034
4. Step 4: Simplify right side
   37,358x = 2,707,537,156
5. Step 5: Solve for x
   x = 2,707,537,156/37,358
6. Step 6: Final answer
   x = 72,475.43