Finding the Third Proportional to 24,429 and 37,113

Step by Step Solution

1. Step 1: Write the proportion equation
   24,429 : 37,113 = 37,113 : x
2. Step 2: Convert to fraction form
   24,429/37,113 = 37,113/x
3. Step 3: Cross multiply
   24,429x = 37,113 × 37,113
4. Step 4: Simplify right side
   24,429x = 1,377,374,769
5. Step 5: Solve for x
   x = 1,377,374,769/24,429
6. Step 6: Final answer
   x = 56,382.77