Finding the Third Proportional to 38,730 and 84,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,730 : 84,567.50 = 84,567.50 : x
2. Step 2: Convert to fraction form
   38,730/84,567.50 = 84,567.50/x
3. Step 3: Cross multiply
   38,730x = 84,567.50 × 84,567.50
4. Step 4: Simplify right side
   38,730x = 7,151,662,056.25
5. Step 5: Solve for x
   x = 7,151,662,056.25/38,730
6. Step 6: Final answer
   x = 184,654.33