Finding the Third Proportional to 37,599 and 58,127

Step by Step Solution

1. Step 1: Write the proportion equation
   37,599 : 58,127 = 58,127 : x
2. Step 2: Convert to fraction form
   37,599/58,127 = 58,127/x
3. Step 3: Cross multiply
   37,599x = 58,127 × 58,127
4. Step 4: Simplify right side
   37,599x = 3,378,748,129
5. Step 5: Solve for x
   x = 3,378,748,129/37,599
6. Step 6: Final answer
   x = 89,862.71