Finding the Third Proportional to 37,594 and 82,964

Step by Step Solution

1. Step 1: Write the proportion equation
   37,594 : 82,964 = 82,964 : x
2. Step 2: Convert to fraction form
   37,594/82,964 = 82,964/x
3. Step 3: Cross multiply
   37,594x = 82,964 × 82,964
4. Step 4: Simplify right side
   37,594x = 6,883,025,296
5. Step 5: Solve for x
   x = 6,883,025,296/37,594
6. Step 6: Final answer
   x = 183,088.40