Finding the Third Proportional to 37,802.64 and 43,774.17

Step by Step Solution

1. Step 1: Write the proportion equation
   37,802.64 : 43,774.17 = 43,774.17 : x
2. Step 2: Convert to fraction form
   37,802.64/43,774.17 = 43,774.17/x
3. Step 3: Cross multiply
   37,802.64x = 43,774.17 × 43,774.17
4. Step 4: Simplify right side
   37,802.64x = 1,916,178,123.34
5. Step 5: Solve for x
   x = 1,916,178,123.34/37,802.64
6. Step 6: Final answer
   x = 50,689.01