Finding the Third Proportional to 38,100 and 58,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,100 : 58,117.50 = 58,117.50 : x
2. Step 2: Convert to fraction form
   38,100/58,117.50 = 58,117.50/x
3. Step 3: Cross multiply
   38,100x = 58,117.50 × 58,117.50
4. Step 4: Simplify right side
   38,100x = 3,377,643,806.25
5. Step 5: Solve for x
   x = 3,377,643,806.25/38,100
6. Step 6: Final answer
   x = 88,652.07